Thank you TED-Ed... My teachers at school never explained what log actually meant... they just started with its application in differentiation... Thank you So much!! I wish teachers would start explaining the same way!
This is nonsense, and it’s extremely dangerous. No decent eye doctor would ever recommend using logarithms after swimming. This video needs fo be removed, immediately, before it causes someone to go blind. I’m reporting it to the UA-cam police. I hope the people who posted this BS have fun in prison. Say hi to Bubba for me, ya jerks. Don’t drop your soap.
Great idea! Do you have a recommendation on someone who could create the lesson? Feel free to nominate someone on the TED-Ed website (ed.ted.com) under the "Get Involved" section. Thanks!
@TEDEd, I just wanted to say that for the "pH" example @2:30, since it is a "small value", that one could enter the equivalent in negative scientific/engineering notation. So -log(3.98x10^-9 = 8.4.... and -log(3.98x10^-8 = 7.4.... Ty for the video! ^_^
Wow, I studied logarithms last semester. Yesterday in chemistry a logarithm came up in an equation and I was easily able to figure out what I had to do by using my calculator, but I realized, I don't know how logs really work. When I did them in class, I just remembered how to use them, not WHY. So I looked it up today, and this short video helped me so much! I feel like I have a better understanding than when I was actually doing logs in class. I was missing that fundamental information of why they actually work
It's amazing how much math (and things in general) become easier when you understand not just how it works but WHY it works. I wish that concept was more prevalent in schooling
Tbh I watched this because my teacher told me to skip a logarithm question on a practice sheet because we "don't know the material" so I'm tryna stay ahead of the game here
Honestly this one feels like a necessity of every upcoming batch and they made it 10 years ago and now i can guess how many students were helped out of this thanks to steve and the TED ED team
Love the comic touch and vivid examples of real world uses. Logarithms have been called Napier's Rapier, since he invented them back in Elizabethan times to cut through difficult calculations precisely and quickly. This video makes you a true exponent of Napier.
he mean probably the hydrogen ion concentration or the pH that cause the eye redness..can be treated by using eye drops made by using the same technique in order to lower the pH of your eye that caused the redness. he probably means the concentration needed are so small that scientist use logarithm etc. to calculate the required concentration etc.
Sometimes i ask myself: Why do we go to School? I mean watching a two minutes Videos about a Topic is way more effective than sitting in class and listening ti the boring teacher....
long live Lemmy the teacher isn't boring the teacher has to teach 20 students. If you think you can do that everyday and make it interesting then be my guest. This also isn't for anyone .
Because al though this may teach the general idea of the lesson, it is when you are in class and put it into work in practice problems that you solidify the understanding of the lesson. Not only thru practice but also explaining it to your peers/classmates who may have learned a different way. Its like a gym for your brain!
+Emanuel Balmus Or they didn't understand it because they were just lazy and/or refuse to learn the concept of logarithm instead of just looking for "how do I do it?" or "But there were no examples" or etc :) Trust me, I teach.
Man, you are a legend. I read a book, listened to teachers and stuff, but this 3:33 long video explained what hours of learning couldn't. You are a LEGEND!
I have loved math my whole life and my teacher who covered Log's did a poor job so I never understood the fundamental of it. NOW I GET IT. It's pretty simple actually thank you !!!
Same here! I knew the formula, but somehow before this video I didnt really realize what it really means and why someone would use it. But by this video, I know it just shows how much you have to multiply a certain number (=the base) by itself, to get a particular other number!
Good Explanation.. My teachers did not teach these basics and would just ask us to reference the Log Tables (calculators where not available).. Honestly, I am still confused a bit.. If additional examples could be included with actual calculations, it would be helpful. (specially, Log base 3). Is there similar examples for Calculus.. I know that these are important, but my basics is bad in these..
Back in college I took a microeconomics course which was taught in an auditorium that held 250 people. At about the third lecture it was apparent that the professor was teaching to a dozen or so students that had some familiarity with the topic, the other 200+ students of which I was one, were lost and left behind. I stuck with it and learned enough from the text to manage a C grade from taking the 12 exams. At semesters end, the number of students had dropped to less than 50 or so. When I took macroeconomics I had an outstanding professor who not only taught macro well but got those of us who didn't 'get' an understanding of micro caught up to speed at the same time. She was a super educator and I was glad to have taken her class.
American public high schools are preparation for failure. That dozen in class are from college prep schools, foreign students or the exceptional onces from American public high schools which would be walk in the park review for them. I knew foreign freshman students already had differential and Integral calculus and first college year physics. We are so screwed!
Brilliant lesson and a great explanation on the topic. You've been able to simplify the logarithm topic very easily and the student will be able to understand it way better from you.
I would have loved to see some interesting examples of the use of logarithms. For example it's possible to find how many digits does a number have then raised to some power. Then we take the log base 10 out of one digit number we get an answer which is less than 1(because log10=1). If we take log base 10 of two digit number we get a number which is less than 2 but greater or equal to one and so on. Let's find how many digits does 5^15 have: log(5^15)= 15*log5 ≈ 15*0.7 ≈ 10.5 Number has 11 digits
The STAR math test kept asking me about logs (in 8th grade!) and I had no idea what it was talking about. Now I can at least get most of them right. :)
Thank you for explaining in under 5 minutes what all my university professors have failed to actually tell me in nearly 6 years. This was all I've wanted, and I'm going to put it on my wall so that I don't have to keep scouring the internet every time I do a lab report.
I had difficulties understanding logarithms in school, now years later this one three minute video explained what they actually are. Turns out that my teacher never actually explained what logarithms are, only how to use them, so it never felt intuitive.
1:34 don't listen to him. You can do logarithm to any base using the change of base formula. For example to compute log base 2 of 64 you can type in log(64)/log(2) and that gives us the correct answer of 6. Remember, log to the base 'b' of a number 'n' is equal to log(n)/log(b)
The most important use of logarithms was first to help in calculations: log(a+b) = log(a) x log(b) It means that with a little book, a list of logarithms of numbers, you can multiply them just by adding their logarithms, whereas multiplying by hands is long and hard. That's why logarithms were a revolution in science because they were "invented" or "discovered" at a time when there was no calculator. (Sorry for the long text, but it seems important to me)
The key property of logarithms is that log(a*b) = log(a) + log(b). Because entropy is an additive property, taking two systems with different entropy and combining them gives you an entropy that just adds them up: S = S1+S2. On the other hand, combining microstates of two systems looks like multiplication, since for each microstate the first can take on, the second system can be in any microstate, and they're independent. W = W1*W2. Therefore, a logarithm is the only function that makes those two properties consistent.
Omg he explained it so well. I literally asked my math teacher to make me understand the same math of logarithm 6 times and still didn’t get it and was too shy to ask again but this video really helped!!❤
Really quick version: A natural log is a log where the base is the number "e." e (intentionally not capitalized) is a number similar to pi in that it doesn't split up well, but it has some interesting properties. For more info the wikipedia pages do a good introduction to both e and natural log.
I really liked this. I got an A in my college Logarithms class in college but I don't remember a thing but this brought it "all" back (partly). With math, like languages, if you don't use it you loose it. A smart young person should really study math diligently, write perfect English and learn either German, Mandarin, French. Latin or Ancient Greek. The last two are like certificates of intelligence because no stupidos have Latin or Ancient Greek.
db112nl "Dead languages" survive very well in Academia and among enthusiast. Hebrew was a dead language for 2000 years until the creation of the State of Israel. The term "dead language" is deceptive as it does not mean dead but not currently spoken. My university math professor told me he would rather have brilliant students of Latin and Ancient Greek with little or no mathematics to start the year because he knew that with such students he could make great mathematicians. To test yourself try reading a language you do not know with a good dictionary - not very difficult - and then try reading Cicero or Virgil or Homer with a dictionary and see how far you get. There is value in "dead stuff." Ironic - huh!
I was holding a cup of milk in one hand and a croissant in the other when the narrator said, "c'mon, use your fingers" (1:54). I started counting with him and dropped my croissant first, then I dropped my cup of milk and it broke and got all over the place.
Actually using a trait of logarithms, you can decide what base you want to be computed in calculators by inserting log b / log n with both bases being 10, b being the base you desire and n the number.
Question regarding logarithms…it appears by bringing down the exponents we might be losing some information… Such as with the formula x^2+y^2=1 … Then X^2=1-y^2 (-1)(x^2)=(y+1)(y-1) Then X^4=(y+1)(y+1)(y-1)(y-1) X^4=(y^2-1)^2 Ln(x^4)=Ln [(y^2-1)^2] Then 4 ln (x) = 2 ln (y^2-1) And Ln(x)=1/2 ln (y^2-1) e^ln(x)=e^(ln(y^2-1)^1/2) And X=(y^2-1)^1/2 But from the initial formula X=(1-y^2)^1/2 So we must have changed the domain for which the function was defined at some point correct? Because up until we drag the exponents down in front of the logarithm. The graph still generates a circle along with the hyperbola portion as well. The ending product just leave the hyperbola portion. And the starting equation just had the parabolic portion. Log portion had both…
Im a student and I can easily say that this video CANNOT get any bettet than this....while there are videos with 16-20 min and does not make us understand one bit, this does in 3 min....a succes according to me...im satisfied 😉😉😉
He sounds like the teacher that discusses enthusiastically but then gives a quiz right after the lesson. It made me nervous watching this.
yeaaaas felt the same way
the sound of betrayal
I had exactly that in mind :D
Same lmfao
FRRRR
An episode a day keeps the bad grades away
So true
nevermind....got it
10^(-7.400116928) = 0.0000000398
ture
True that!
Thank you TED-Ed... My teachers at school never explained what log actually meant... they just started with its application in differentiation...
Thank you So much!! I wish teachers would start explaining the same way!
This is nonsense, and it’s extremely dangerous. No decent eye doctor would ever recommend using logarithms after swimming. This video needs fo be removed, immediately, before it causes someone to go blind. I’m reporting it to the UA-cam police. I hope the people who posted this BS have fun in prison. Say hi to Bubba for me, ya jerks. Don’t drop your soap.
That would require teachers to understand logs.
Please see my separate comment above - about what logs actually mean.
Same lol
My teachers never explained
But during my uni interview i was asked this ques…..
@@spacegeek6166how can ou don’t know what log is?
Legend says he is still saying Zero
TheGreenPianist legends say his eyes never turned back to normal
This has reached over 100 likes
Congrats
It's not a legend...if you listen carefully on a quiet summer's eve you can still hear him sayin,"the base raised to what power equals the number?"
llloooooooooooogarithms
I am from 2024
Great idea! Do you have a recommendation on someone who could create the lesson? Feel free to nominate someone on the TED-Ed website (ed.ted.com) under the "Get Involved" section. Thanks!
5 years and noone replied or liked this comment
10,000 subscribers without any videos yea
@TEDEd, I just wanted to say that for the "pH" example @2:30, since it is a "small value", that one could enter the equivalent in negative scientific/engineering notation.
So -log(3.98x10^-9 = 8.4.... and -log(3.98x10^-8 = 7.4.... Ty for the video! ^_^
11 years have passed
Wow, I studied logarithms last semester. Yesterday in chemistry a logarithm came up in an equation and I was easily able to figure out what I had to do by using my calculator, but I realized, I don't know how logs really work. When I did them in class, I just remembered how to use them, not WHY. So I looked it up today, and this short video helped me so much! I feel like I have a better understanding than when I was actually doing logs in class. I was missing that fundamental information of why they actually work
It's amazing how much math (and things in general) become easier when you understand not just how it works but WHY it works. I wish that concept was more prevalent in schooling
@@Scam_Likely. Agreed. I think the primary focus in school should shift to helping students understand the entirety of a concept.
Tbh I watched this because my teacher told me to skip a logarithm question on a practice sheet because we "don't know the material" so I'm tryna stay ahead of the game here
Good on you!
so did you pass
👌👌
Nowadays, Kevin is an unstoppable machine of knowledge, motivated only by his desire of staying ahead of everyone. This is what mathematics do to you.
I swear I hate those kinds of mediocre teachers
..llLOOOGgarithm!
+Lyle Faraday More like LOAG arithms.
L-aaawww- g-rithm
Lyle Faraday 😙👽👀♥*)👃👣👣💀💙❤👃👾👂
Dude had me literally ROFL with the llLLLoooogarithm
Honestly this one feels like a necessity of every upcoming batch and they made it 10 years ago and now i can guess how many students were helped out of this thanks to steve and the TED ED team
Man this has to be the best and simple explanation of Logarithms which can be easily understood by even a primary school kid and PhD student!!!😃
Algorithm
logArithm
*What*
WWWWWWWWWOOOOOOAAAAAAAAHHHHHHHHH
Anagram
Rhythm
Somebody was like . Wait a min let me just .. and made these two words 😂
I wish I had Ted Ed when I was in school. Makes learning so much more fun.
This was the most wholesome ted ed video i'ven ever seen , and i have seen quite a lot of them.
This is 11 years old video but still the animations and quality are up to date hats off
Wow TED-Ed, never quite understood the traditional expiation of log base 10 until now. Well done!
Love the comic touch and vivid examples of real world uses. Logarithms have been called Napier's Rapier, since he invented them back in Elizabethan times to cut through difficult calculations precisely and quickly. This video makes you a true exponent of Napier.
I will still never remember logs
i had a test about them last week
Emilio Couchee soooooooooooo true
Emilio Couchee
Why? Cause random hunks of wood are boring?
Base raise to what power equal number.
REMEMBER Logs are bits of wood that are chopped from trees.
third week in math, I was helped more by a 3minute video than 3 weeks in college. Fantastic.
At last, I got it! Thanks for the education.
did he say log can be used as eye drops
Instructions unclear. Tree stuck in eye.
Its a metaphor by the way indian guy
Mohd Jawad hes kiddin dude.
Siddharth Singh i don't think so he's indian and watching there is high probability he is damn serious
he mean probably the hydrogen ion concentration or the pH that cause the eye redness..can be treated by using eye drops made by using the same technique in order to lower the pH of your eye that caused the redness. he probably means the concentration needed are so small that scientist use logarithm etc. to calculate the required concentration etc.
Sometimes i ask myself: Why do we go to School? I mean watching a two minutes Videos about a Topic is way more effective than sitting in class and listening ti the boring teacher....
long live Lemmy maybe if you paid attention to your teacher you wouldn't think that
long live Lemmy the teacher isn't boring the teacher has to teach 20 students. If you think you can do that everyday and make it interesting then be my guest. This also isn't for anyone .
@@zeroej You have my respect
long live Lemmy Yeah. Me too
Because al though this may teach the general idea of the lesson, it is when you are in class and put it into work in practice problems that you solidify the understanding of the lesson. Not only thru practice but also explaining it to your peers/classmates who may have learned a different way. Its like a gym for your brain!
The inflection of this man's voice makes this video all the more entertaining
This was a very helpful video. Anyone who didn't understand it, was not actually watching it, just playing on their phone or some other activity.
+Emanuel Balmus Or they didn't understand it because they were just lazy and/or refuse to learn the concept of logarithm instead of just looking for "how do I do it?" or "But there were no examples" or etc :) Trust me, I teach.
I agree
Man, you are a legend. I read a book, listened to teachers and stuff, but this 3:33 long video explained what hours of learning couldn't. You are a LEGEND!
So basicaly a square root, but you're finding the power instead of the base
lol yeah
Oh man! The way this educator explain his lesson with his unique way of talking... Recommended educator
This 3 min video explained better what exactly log is about than my school.
the last bit was actually so good, especially the eye drop joke
Thanks ... I was using the calculator to do my maths hw and then I had the strangest urge to know about the log button
never had LOG before at school?
MegaMGstudios kids are everywhere dude
Damm it, what a blessing to be born in an era of youtube and ted ed. Comprehending and absorbing information like never before.
This taught me more than a semester course in Pre-Calculus.
Bob Bluered that's impossible unless you weren't paying attention
I have loved math my whole life and my teacher who covered Log's did a poor job so I never understood the fundamental of it.
NOW I GET IT. It's pretty simple actually
thank you !!!
Loving the energy and enthusiasm!!!
You always make even the hardest topics feel simple!
Same here! I knew the formula, but somehow before this video I didnt really realize what it really means and why someone would use it.
But by this video, I know it just shows how much you have to multiply a certain number (=the base) by itself, to get a particular other number!
Good Explanation.. My teachers did not teach these basics and would just ask us to reference the Log Tables (calculators where not available).. Honestly, I am still confused a bit.. If additional examples could be included with actual calculations, it would be helpful. (specially, Log base 3). Is there similar examples for Calculus.. I know that these are important, but my basics is bad in these..
There’s a teacher known as “Eddie woo” on UA-cam, they have a video explaining logarithms
Here’s the link: ua-cam.com/video/ntBWrcbAhaY/v-deo.html
Back in college I took a microeconomics course which was taught in an auditorium that held 250 people. At about the third lecture it was apparent that the professor was teaching to a dozen or so students that had some familiarity with the topic, the other 200+ students of which I was one, were lost and left behind. I stuck with it and learned enough from the text to manage a C grade from taking the 12 exams. At semesters end, the number of students had dropped to less than 50 or so. When I took macroeconomics I had an outstanding professor who not only taught macro well but got those of us who didn't 'get' an understanding of micro caught up to speed at the same time. She was a super educator and I was glad to have taken her class.
American public high schools are preparation for failure. That dozen in class are from college prep schools, foreign students or the exceptional onces from American public high schools which would be walk in the park review for them. I knew foreign freshman students already had differential and Integral calculus and first college year physics. We are so screwed!
Oh my god. How is this the best explanation video I have ever seen on youtube in my life.
Thanks for subtitling with Myanmar.🇲🇲
It's rare on UA-cam.
- Timmy, what number is under cup now?
- 10?
- no, it is an orange.
(laughter and applause from audience)
This provides a clarification. Thank you!
super helpful with the lighting up of the variables when you were saying what goes to what. Makes identifying what easier. thank you :D
ZEro ZEro ZEro ZEro eight four LOAAAAGGGGarithms. Blah blah BLAW.
I saw u in another video of ted-ed lol the one about zeno's paradox
@@KevinSalim Three Nine Eight
@@abinashpanda393 what does that mean?
@@KevinSalim You need to learn logarithm AGAIN
Good luck, youre gonna need it.
Laaawwwgarithms.
Brilliant lesson and a great explanation on the topic. You've been able to simplify the logarithm topic very easily and the student will be able to understand it way better from you.
finally some practical use of log , my god it felt good understanding log again
I would have loved to see some interesting examples of the use of logarithms. For example it's possible to find how many digits does a number have then raised to some power. Then we take the log base 10 out of one digit number we get an answer which is less than 1(because log10=1). If we take log base 10 of two digit number we get a number which is less than 2 but greater or equal to one and so on. Let's find how many digits does 5^15 have:
log(5^15)= 15*log5 ≈ 15*0.7 ≈ 10.5 Number has 11 digits
Even my teachers couldn't have explained such a beautiful way ... thanks
The STAR math test kept asking me about logs (in 8th grade!) and I had no idea what it was talking about. Now I can at least get most of them right. :)
Don't care
Needed a reminder to help my niece in her math class. Thank you guys🙏🏽
This is not the video you want playing when you're mouse suddenly stops working.
Edward Morris Did your autocorrect also stop working?
No, it just means this video is so goddamn irritating I made a spelling mistake. Obviously. Jeez you asked a stupid question. Go away.
Edward Morris TRIGGERED
Thank you for explaining in under 5 minutes what all my university professors have failed to actually tell me in nearly 6 years. This was all I've wanted, and I'm going to put it on my wall so that I don't have to keep scouring the internet every time I do a lab report.
Very simple and awesome explanation!
I saw a couple log questions on a test and I didn’t understand it, videos like these really help
zero zero zero zero zero zero zero zero zero and zeroooooo 3 98 lol
I had difficulties understanding logarithms in school, now years later this one three minute video explained what they actually are. Turns out that my teacher never actually explained what logarithms are, only how to use them, so it never felt intuitive.
1:34 don't listen to him. You can do logarithm to any base using the change of base formula. For example to compute log base 2 of 64 you can type in log(64)/log(2) and that gives us the correct answer of 6. Remember, log to the base 'b' of a number 'n' is equal to log(n)/log(b)
3:05 that's exactly how I remembered it! It's a super cool trick and have helped me a lot!
The most important use of logarithms was first to help in calculations: log(a+b) = log(a) x log(b)
It means that with a little book, a list of logarithms of numbers, you can multiply them just by adding their logarithms, whereas multiplying by hands is long and hard.
That's why logarithms were a revolution in science because they were "invented" or "discovered" at a time when there was no calculator.
(Sorry for the long text, but it seems important to me)
That is a misconception. It is actually log(a) + log(b) = log(a x b), not the other way around.
Yes, sorry ! You are right
so by using log(a)+log(b)=log(a+b) im guessing people programmed logarithms via a recursive function (c++)?
Bro youve done mistake actually it was log( a×b)= log a + log b
What about log(abc) or log(a_1×a_2×a_3×...a_n)???
Super helpful video. I never had anyone really explain what a log is, so thanks very much! On a side note, this guy should be a game show announcer.
Well, in Boltzmann,'s entropy formula why is the change in entropy given by the log instead of simply by a number? Anyone may please reply! Thanks
The key property of logarithms is that log(a*b) = log(a) + log(b). Because entropy is an additive property, taking two systems with different entropy and combining them gives you an entropy that just adds them up: S = S1+S2. On the other hand, combining microstates of two systems looks like multiplication, since for each microstate the first can take on, the second system can be in any microstate, and they're independent. W = W1*W2. Therefore, a logarithm is the only function that makes those two properties consistent.
@@dexter2392 thanks a lot for so clear reply
Omg he explained it so well. I literally asked my math teacher to make me understand the same math of logarithm 6 times and still didn’t get it and was too shy to ask again but this video really helped!!❤
This was amazingly explained
This video made me cry. Sensational!
I NEED LOGARITHM TO SAY THAAAAAAANK YOUUUUUUU TO YOUUUUUUUUUUU
I need another ted-Ed video explaining this video
Excellent explanation, as always very helpful! :)
Really quick version: A natural log is a log where the base is the number "e." e (intentionally not capitalized) is a number similar to pi in that it doesn't split up well, but it has some interesting properties. For more info the wikipedia pages do a good introduction to both e and natural log.
Thanks for extra info
I really liked this. I got an A in my college Logarithms class in college but I don't remember a thing but this brought it "all" back (partly). With math, like languages, if you don't use it you loose it. A smart young person should really study math diligently, write perfect English and learn either German, Mandarin, French. Latin or Ancient Greek. The last two are like certificates of intelligence because no stupidos have Latin or Ancient Greek.
If you dont use it you loose it --> So go study a dead language.
You must see the irony in that :)
db112nl "Dead languages" survive very well in Academia and among enthusiast. Hebrew was a dead language for 2000 years until the creation of the State of Israel. The term "dead language" is deceptive as it does not mean dead but not currently spoken. My university math professor told me he would rather have brilliant students of Latin and Ancient Greek with little or no mathematics to start the year because he knew that with such students he could make great mathematicians. To test yourself try reading a language you do not know with a good dictionary - not very difficult - and then try reading Cicero or Virgil or Homer with a dictionary and see how far you get. There is value in "dead stuff." Ironic - huh!
I feel that someone who talks about what "a smart young person should know" should really know the difference between "loose" and "lose".
thank you for keep it so short and simple. I understood within the first 45 seconds.
I was holding a cup of milk in one hand and a croissant in the other when the narrator said, "c'mon, use your fingers" (1:54). I started counting with him and dropped my croissant first, then I dropped my cup of milk and it broke and got all over the place.
Mr. Kelly, best teacher at St. Louis High School, going to miss you next year when I am at college
"Zero Zero Zero Zero Zero.." HAHA! Sounds funnny when he does that!
Wow 8 years ago
I am watching this video after 11 years but it helped me in my physics. So thanks.
When you’re failing add maths and have to resort to Ted education
Everyone: logarithm
TED-Ed: looowgarithm
lol zerow, zerow, zerow,
zerow!!
THREE NINE EIGHT
0:47 b=base, p=power, n=number
My eyes are red. Someone give me logeye drops.
*stabs eye with a stick*
Thank you TED-Ed and Steve Kelly for this amzing and useful video!
Actually using a trait of logarithms, you can decide what base you want to be computed in calculators by inserting
log b / log n
with both bases being 10, b being the base you desire and n the number.
Thank you so much Ted-Ed for clearing my concepts from this short video 💓💓💓💓💓
welp, he lost me at 0:01
fantastically simple explanation thank you
I'd like to see more of these from this guy but sometimes he speaks too quickly I think.
Question regarding logarithms…it appears by bringing down the exponents we might be losing some information…
Such as with the formula x^2+y^2=1 …
Then
X^2=1-y^2
(-1)(x^2)=(y+1)(y-1)
Then
X^4=(y+1)(y+1)(y-1)(y-1)
X^4=(y^2-1)^2
Ln(x^4)=Ln [(y^2-1)^2]
Then
4 ln (x) = 2 ln (y^2-1)
And
Ln(x)=1/2 ln (y^2-1)
e^ln(x)=e^(ln(y^2-1)^1/2)
And
X=(y^2-1)^1/2
But from the initial formula
X=(1-y^2)^1/2
So we must have changed the domain for which the function was defined at some point correct? Because up until we drag the exponents down in front of the logarithm. The graph still generates a circle along with the hyperbola portion as well.
The ending product just leave the hyperbola portion.
And the starting equation just had the parabolic portion.
Log portion had both…
I usually love Ted and Ted-Ed but this video was more confusing than helping
I second this
Agreed. I actually understand logs and found the video to be unnecessarily complex for curious beginners
For me it was really helpful and explainatory
Thankyou, sir. My eyes were feeling very itchy, but now I can use logarithm to fix them.
Llooooooooooooooooooooooooogarithms
More like "longarithms"
Very simple easy to understand explanation.
2024 anyone?
Yeah
Bro the comment are so old. It made me feel so young
@@umasrivastava2107fr
I am from 2024
Bro me
now it makes sense after so many years. thx.
"The log key on your calculator only does log_10."
log_b(p) = ln(p) / ln(b)
Thanks for the explanation. I always wondered whats log , this helped me.
see we need this in schools... not some uncaring drones called "TEACHERS"
Prashant Pathania edgy
fellow confederate says the traitor
I'm about to start on a calculus course, but this was never explained very well to me. This helped alot. Thanks!
I never knew logarithms were useful to handle extremely small/large numbers... Thanks for the explanation!
thanks steve! a great explanation of logs.THE BASE RAISED TO WHAT POWER EQUALS THE NUMBER
Lmfao at 1:09..."What is the value of Log base tena TEN THOUSAND!?!" take it easy buddy, your slurring your math.
Dante Falls You have failed the grammar check. Please hand over your kneecaps.
Im a student and I can easily say that this video CANNOT get any bettet than this....while there are videos with 16-20 min and does not make us understand one bit, this does in 3 min....a succes according to me...im satisfied 😉😉😉