Logarithms - The Easy Way!
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- Опубліковано 7 вер 2024
- This algebra 2 video tutorial provides a basic introduction of logarithms. It explains the process of evaluating logarithmic expressions without a calculator.
Logarithms - The Easy Way! • Logarithms - The Easy ...
Log to Exponential Form:
• Writing Logarithmic Eq...
Change of Base Formula:
• Change of Base Formula...
Change of Base Log Problem:
• Logarithms
Properties of Logarithms:
• Properties of Logarithms
____________________________________
Expanding Logarithmic Expressions:
• Expanding Logarithmic ...
Condensing Logarithmic Expressions:
• Condensing Logarithmic...
Natural Logarithms:
• Natural Logarithms
Solving Exponential Equations:
• Solving Exponential Eq...
Exponential Equations - Quadratic Form:
• Solving Exponential Eq...
_______________________________________
Solving Logarithmic Equations:
• Solving Logarithmic Eq...
Graphing Logarithmic Functions:
• Graphing Logarithmic F...
Graphing Exponential Functions:
• How To Graph Exponenti...
Compound Interest Word Problems:
• Compound Interest
Logarithms Practice Problems:
• Logarithms - Practice ...
_______________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections
Logarithmic Formula Sheet:
bit.ly/4fEwqv0
![The most beautiful equation in math, explained visually [Euler’s Formula]](/img/n.gif)
Logarithmic Formula Sheet: bit.ly/4fEwqv0
Final Exams and Video Playlists: www.video-tutor.net/
Next Video: ua-cam.com/video/f0C1KL7GkqY/v-deo.html
Sir please can you tell me log 0.00005 ??🥺🤧
And log 1/0.00005 ?
@@diya__3092 -5 and 5
@@diya__3092 no.
there's something with this guys' voice that makes me easier to understand the lesson
lol
Jeruhh D yes, I agree
true
I wish the names for the different American accents and dialects were commonly known, that would be cool to know
the only flaw is the sharp noises when he talks
I wish you could sit in on the bad math classes in the US. My professor took 2 days to explain this and made it sound impossible. You really are the best tutor on YT.
This new generation is lucky because it's easy to find best tallented and knowledgeable teachers on line and easy to get all information related to your study, assignments, workshops and any topic ideas.
@@hermonaregai810 ok boomer
@@tunabros ok zoomer
@@tunabros ok zoomer (dw im a zoomer too)
@@tunabros ok zoomer
Funny how I didn’t understand this in a 1hour and 30 minute class but I can learn it in 10 minutes from this guy school is so useless
:)
Depends upon the teacher
PikachuBosss Bro my teacher is the worst I failed his class for two semesters but when I gave up on his and tried to learn shit by myself (by za internet) I literally got an A
Everyone has different learning styles. I know personally that have aced classes that many of my classmates struggled with, and conversely have struggled with classes that others seemed to have no issue with. The problem is that everyone in a classroom is just expected to learn the same way.
Kinang ina mo
BRooooooo this is wild. I learned so much! My school's online learning site is such a waste of time. Why'd I just learn an entire unit in 10 mins. This is how education should be.
Exactly... I spent a whole hour studying this ads 22seconds into the video i understood!
@@prettygrlstarr totally true!
u didn't, u just memorized, do u remember it now?
@@Saytsee yes lol. It's not that hard to forget.
@@Gemicideee did i ask u?
I took a college alg class at a community college. You were VASTLY superior to their instruction. I used your videos and got a 95 for my final grade. Oh! And I had been out of school for over 12 years.
Well done bro
Well done
Well done bro
The first 31 seconds of this video taught me more than what I understood in class. Thanks so much!
True
loi elooooooo🤣
the first 32 for me
0:16 - FIRST EXAMPLE ---- " LOG _2 of 16 " is asking how many "2" s NEED to be MULTIPLIED to get to 16 , here we see that 2x2x2x2 = 16
so therefore " LOG_ 2 of 16 = 4 " because we need to multiply four "2"s to get 16 .
1:11 - log _4 of 1 - " log" of 1 is ALWAYS equal to ZERO
1:19 - LOG _ 7 of 7 , when BOTH numbers are the same the simply "cancel out" and will ALWAYS equal to "1 "
1:36 - What to do if you're not given a base ?? ( in this case , LOG of 1000) ** if you're NOT GIVEN a base , the base is ALWAYS assumed to be a "10". with that in mind LOG (1000) becomes >>>> LOG _10 (1000) AND LOG _ 10 (1000) = 3. , because 10x10x10 = 1000
2:17 - What about " LOG of 0.0001 " ??? * as previously discussed when we have no base its always assumed to be "10"
so LOG_10 (0.0001) = - 4 BECAUSE the " 1 " in " 0.0001 " is in the " ten thousandths " place and
10x10x10x10 = 10,000 BUT we know its NOT " Ten THOUSAND " its " Ten THOUSANDTHS " so instead of 10^ 4 its 10^ - 4
2:35 - QUICK REVIEW , and noticing the logarithm pattern
LOG of 1 = 0
LOG (10) = 1
LOG (100 )= 2
LOG (1000) = 3
LOG (10,000)= 4 *** notice how the number of "zeros" correlate with the number on the right ** for example " 10 ,000" has
FOUR " zeros " and LOG of 10.000 = 4
so with that in mind whats " LOG of 1,000 ,000 " ?? well we know that "1,000,000 : has SIX "zeros" in it , so therefore
" LOG of 1,000,000 = 6 "
3:28 - Logarithms with decimals ( further explained ) as discussed above the number of "zeros". directly correlate to the number on the "right"
so >>>>. LOG of 0.1 = - 1
LOG ( 0.01) = - 2
LOG ( 0.001) = - 3
LOG (0.0001) = - 4
4:04 - whats " 7 LOG _ 7 ( 38 ) ? , if you ever get this odd question on a test , SIMPLY CANCEL the two numbers out ( in this case we'll cancel the two 7's out ) and the answer will equal to the the other number ( in this case it will equal to = 38 ) so " 7 LOG _7 ( 38) becomes >>> LOG (38)
and LOG (38) = 38
4:51 - Working with fractions in a logarithm question EXAMPLE we know " log _ 3 of 9 = 2 " but how would our answer change if we had
LOG _ 3 ( 1/9 ) ?? Well , actually , "LOG _ 3 of ( 1/9) = -2 " * you have to flip the fraction( * *** And the NEGATIVE EXPONENT will cause
the "9" to move from the TOP to the BOTTOM ( 9/1 >>>> 1/9 )
5:35 - what if we flipped the numbers ?? if " Log _ 3 ( 9) = 2 " what's " Log 9 _ ( 3 ) " equal to ?? well SURPRISE SURPRISE there's a "2'" involved
" Log _ 9 ( 3 ) = 1/2 ) " * you have to move the "2 " from the TOP to the BOTTOM " ( 2/1 becomes >>> 1/2 )
5:54 -- whats " Log _ 9 ( 1/3 ) equal to ? well know that " Log _9 ( 3 ) = 1/2. (so knowing that we have to "flip" the fraction * turn 1/3 to 3/1 *
" Log _9 (1/3 ) = - 1/2 ** REMEMBER , a NEGATIVE exponent ALLOWS us to FLIP the fraction ***
6:06 - ANYTIME we have a fraction , our answer WILL be NEGATIVE , and anytime our "base" number is larger than the second number
EX : " Log _ 9 ( 3) our answer WILL be a FRACTION
6:44
7:07 - Review questions ( pause and try to answer questions )
8:57 - MORE practice questions . ( pause and try to answer questions )
thanks. much appreciated
Not all hero wear capes
what the fuck
@@faredr1754 actually wtf
@Stack_Overflow i guess
I got a test in 17 minutes 😂 thanks for the video.
The Viewer hope it went well!!
@@aimenarif2123 I got a C, but at least I passed
The Viewer but hey, there’s always another chance, good luck next time :)))
@@theviewer4314 they allowed phone inside lol
@@howmuchistoomuch It's a college class and I was watching the video before class even started.
His voice is sooo addictive. It makes you want to learn Mathematics.
shhhhhhhhhhhhhhhhhhhhhhhhh
@@xathirx7386 what's that?
@@thedevilofhellskitchen2593 it means shut the FUCK UP
@@xathirx7386 lol
Tushar Gupta lmao yea
I don't understand ANYTHING that my teacher says, but you always make everything crystal clear. Thank you
-.-
i am brainfarting that my teacher couldnt explain this to me and you did it in 1 min...
nice job ^^
:):)
facts fuck ms.cardieri
I love how there are so many videos for one topic cuz im really bad at math and dont understand fast enough and have a bunch of videos from the same teacher is better than having to look for other recourse so THANK YOU!!!
My god you are amazing... How did I not find you sooner?
Aaron Darity same
yes its very easy to understand from this video
The video makes so much sense
Who's still watching in 2024
A lot apparently
Me
I got a math test 💀
unfortunately, got a project where me and a group make 100smth problems🫡
I hate math lmao. Stupid ass class.
Did this in high school but now I’m cramming for a college test tomorrow. Thank you for this!!!
who's watching this 0.01 second before exam? 💀
Nah after I failed it and need to retake it
i am wachting it like 2 years before no exaggeration.
U r the only one😅
@@austinyates1054 i came back after i failed and this is the second time 😂
You're a math god, and i appreciate your help before my exam tomorrow
Omg... Who is still watching this in may 2024 ????
I am
I am
Me
😢
Me
Literally omg
I'm 67 and a college graduate from a well known university in California majoring in Biochemistry and biology. From what I remember, this is the most succinct explanation of Logs and how to work with the basic fundamentals! Thank you who ever your are!!
I’ve been learning this for two weeks and I finally understood it in one lesson from you
Stop scrolling through the comments and listen!! You’ve got a test tomorrow!!
yes i do
No i don't
I just want to say THANKYOU. You are phenomenal at explaining things in a simpler way that I can understand. I was literally crying taking one of my tests for my college math class I am in. I would listen to the lesson over and over & still did not understand. I feel like the videos my teacher provides make it way more complicated than it needs to be. Anyways, you have saved my sanity.
30 seconds in and I immediately understand logs. Why can't all youtubers be like this guy
There is some kind of aura that learning for yt has which isn't in school classes which makes learning online more interesting 😂
It’s 4 am and I’ve 500 hw problems to do ⚰️
what nationality are you?
wtf 500 problems burh i feel for you nobody has that many homework problems i mean theres only so many you need to do until you understand...?
dildo baggins in college i have to do 200
I simply love your tutorials. You make it easier to understand than my professor at times. I have watched your tutorials on a few of the classes that I'm taking in college. Thanks for your time and patience in teaching.
you are literally saving my life on my exam
Best teacher ever in the universe for trig,calculus ,logarithms and all concepts !
Your really good at what you do and I am honestly waiting for you to reach 10 million cause you definitely deserve it
I've watched you grow from 1 million to 5 million
Yo, Yes.
istg, my teacher posted a 1 hour 47 minutes video trying to explain this, and i got more confused that i was before, this dude was able to make me understand all of that shit in 10 minutes, damn.... your our hero istfg 😂😂
@Alpha Dog nope, 10th, mn wen enta?
I missed this lesson in Algebra class because I had an AP test today. You came in clutch thank you
when you're watching this because the online math class that you were put in for this summer program is too hard so you don't understand anything in there so you have to watch yt videos to help you learn before you have to turn in an assignment due in two days...AHAHA that's me.
it's the way these are taught that makes it so much more digestable. he uses a show dont tell method rather than showing the formula with all the variables which just looks confusing, and rather he just does the problems and elevates them in difficulty so that there's an actual grasp to the practice rather than a focus of concept which i think is so much easier to learn from.
You are literally the reason im passing math. I’m so grateful for u
As a hs freshie taking the accuplacer so she could take statistics second semester who also has no idea what log stood for 10 min ago this helped me sooooooooo much thank you sooo muchhhhh❤❤
learned what i would spent years on and paid for in 60 minutes with taking notes. thank you so much!
I recommend You this playlist ua-cam.com/video/6Cy13xamkks/v-deo.html&ab_channel=BiPhysiMath-Special
i had an algebra sub today and i didn’t understand his teaching at all. and he was so annoyed with my class. so that’s why im watching you because you explain everything so much better. thank you so much!!
thank you, i gave up in my math class and im trying to get back on track and this helps quite a lot
Hi
This really helped in my Math! I've always struggled on it since day one, thank you so much for the help. You earned yourself a subscriber!
I have wasted a month trying to understand this topic because of my addmaths teacher. there are some days where I felt like giving up trying. I was so stressed and I ended up not studying for this topic at all. The textbook is also impossible to understand. This video had helped me to actually understand this topic. I am very thankful for this guy !! He is a hero for every suffering students .
Good job, remember, if your serious about learning or passing something then you have to put the work in yourself. Thats where youtube comes in :)
Thank you! You are a life saver!
I didn't understand how logarithms worked for almost 6 months. After our math teacher drastically tried to explain it to us.
But, finally, I have understood how it is done in the first 5 minutes of this video!
Pro tip: Using the logarithmic property of log(a/b)= log(a)-log(b) is amazingly helpful. So with log base 81 of 1/3, is becomes 0 -1/4.
U just made me pass my math class bro thanks 😅
Struggled with logs for YEARS, totally confused, totally unable to remember how it works. Just saying "How many times do you multiply 2 by itself to get 8?" i.e., "How many times do you multiply the base by itself to get the number?" -- it all just went "CHUNK" right into place and I was able to answer all your example problems before you worked through them! Amazing how just framing an explanation differently made all the difference (for me -- maybe your explanation wouldn't work at all for people who get logs easily by the other explanations). But THANKS! Subscribed and will let you help me tackle the other things in your series!
Thank you so much sir . I really appreciate you effort . You are really a great help for many students who are busy with kids and family life where they don’t neighbors time to spent on other resources to better understand the concept . You video and short and very well explained. I am praying so hard for your success and god will reward you for the service ❤🙏
Not currently learning logarithms as I'm not in that grade level yet but I was interested in them and wanted to understand them better. This video helped so much that I started to pick up what you meant in the first 2 minutes. Thanks for this.
same bro
Learned more about logarithm functions in 10 minutes, than in all of college algebra.
OMG twewy fan in the wild!! Hiii hope you're enjoying NEO
THIS GUY IS A BRILLIANT TEACHER. Don’t try to recognize patterns though. Just learn how to convert them into their exponential form like he said and how to do fractional exponents and you’ll be golden.
Thank you for this im writing further maths exam and I rally needed to learn logarithm
the first minute of the video taught me more than my teacher did in the entire week we studied the subject, thank you.
These lessons are awesome, and I don't even have to pay you!!!
The king has saved me once again
4:30 i found this the hardest rule while studying.. but after watching how he solved it i could not stop my laughter
hey, i have a question, can you explain the rule? because I still don't understand it, especially that my calculator keeps saying otherwise
Thank you for saving me
On my test tomorrow
thank you so much, it is incredibly simple yet understanding when you explain things. You are helping a lot here.
I love this guy😍😍I easly understand him😍😍
Who saw this on a calculator and decided to search up what it is?
His voice makes it even more intersting and easy to understand it.
Thanks.Ur video flow makes me understand it very well.
I tried Khans Academy after desperation set in annnnnd nada. Your video clicked! Thank you!
He makes it so easier to understand 🔥👌
7 years later, still the best UA-cam channel to learn mathematics.❤🎉
Thank you so much for sharing! This was so helpful!
This guy is good at all his math videos. I have had been having issues with math and whenever I need help I look at his video's. I will really need help this semester, my math instructor is horrible.
Well explained and excellent pace. Thanks!
This has taught me more than my teacher ever has it took her a solid 2 weeks to explain what you did in a 20 min video i hope you get a nice paycheck from UA-cam friend
6:25 useful
Also 0:00 - 10:19 useful
Thank you so much most math teachers are so terrible at explaining and always explain it like I already know how to do it and don’t tell me the little stuff like you do. I appreciate you
Shout out sa mga kapwa ko hindi nagnonotes dyan! Sige nood pa ng tutorial
School is useless bro this guy has some magic in his voice i understand anything from him so easily
I really appreciate you man...thanks!
im just watching this video because logarithms always confused me and i wanted to know what the hell they were (i feel like i wasnt taught in high school)
i was able to understand with the very first like 15 seconds when i had tried before spending like hours reading the wikipedia page and other sites and still felt bewildered at the end
good video
Em um vídeo de 10 minutos aprendi mais que uma semana de aula
I have a major exam on monday and this is such a major help, this is the one of the main questions and i would've failed it if i didn't understand this
Dude you made my life easier
How a chemistry tutor is teaching maths❤😂
Studying mathematics on chemistry channel
This is chemistry requirement bruh 💀
Some teacher: *takes 30 minutes to explain 1/4 of the lesson*
Some guy in UA-cam: *explains a college level lesson in 10 minutes*
Pov u didn't study the night before and you only have 30 mins to prep for a quiz im cooked😭
I have my math final in an hour💀💀
Crazy that I understood logarithmic better in 30 seconds with him than with 1 hour of math every weekday for a month with my teacher
What if it's log 8? 10 raised to x = 8. How can I answer it? Do I just do trial and error? Is there a possible computation to make it faster? Thanks for this tutorial!!
log(8) is going to have a value that’s going to be in between 0 and 1. You can try to put this on your calculator. For exact answer, we just leave it as log(8).
The only problem you've got is your voice is not audible, I sometimes have to increase my volume to 100% and still not hear you loud enough. Otherwise, you are the smartest dude bro😍😍😍
1:50 I would like to mention that it isn’t always assumed to be a 10, it depends on the context in which it is used.
In chemistry it is always taken 10 but in maths it is taken e whose vale is 2.72 something
@@adityapandey10dsn90 In some cases in computer science it’s presumed to be log base 2
@@EragonShadeslayeroh ok
The way you teach is amazing. If i dont get what i was been thought in class, I am always confident in your teaching that i'll get it. You are a genius
Made the mistake of coming here after the test
wow i cant believe an hour and a half class failed to teach me this but i learned from a stranger on the internet in less than 30 seconds
Insane. You will be everyone´s guide in life
The voice is so sweet making it easier to understand hard topics 🥰🥰🥰🥰🥰
7:54
Is someone did not under stand that how log32(2) = 1/5
Here the simple way how to do it :
Use : log b^n (b^m) = m/n
Example:
Log 32 (2)=?
Log 2^5 (2^1) "32 can be written as 2^5 and 2 as 2^1"
As per the formula log b^n (b^m) = m/n
= 1/5
Thank you! I am currently preparing for College Entrance Exams ❤
Watched many videos, his voice, the layout and order of explanation. Fantastic!!
You’re a living legend for this fr
This explanation made me not to find logarithm difficult again
Thanks for your explanation
If I had this guy as a math teacher, I would be a pharmacist today!!!
Since I came across this video, logarithms has become easy for me.
THANK YOU
bruh school is shit i understood nothing when this was taught at school. this guy even made me fall in love with logarithms. THANK YOU SO MUCH!
have my midyear exams tmr morning... ur literally saving my life rn
video is extremely helpful my lecturer made this seem so hard. I have learned a whole lot just from watching this video.
Thanks of making mathematical videos I love math and physics
TITLE : ASMR Mathematics teaching logarithms- the best sleep before exam