Logarithms... How? (NancyPi)
Вставка
- Опубліковано 18 сер 2018
- MIT grad introduces logs and shows how to evaluate them. To skip ahead: 1) For how to understand and evaluate BASIC LOGS, skip to time 0:52. 2) For how to evaluate weirder logs, including the log of 0, 1, a FRACTION, or a NEGATIVE number, skip to time 6:44. 3) For NATURAL LOGS (LN X), skip to time 11:17. 4) For even weirder logs, including SOLVING for X and using the CHANGE-OF-BASE formula, skip to time 14:56. Nancy formerly of MathBFF explains the steps.
Follow Nancy on Instagram: / nancypi
Twitter: / nancypi
1) BASIC LOGS: you can read log notation as "log, base 3, of 9 equals X". The small (subscript) number is called the base. You can always evaluate a log expression by rearranging it into something called exponential form. Every log expression is connected to an exponential expression. In this example, the log is connected to the exponential form "3 to the X power equals 9". This means, "3 raised to what power gives you 9?" Since 3 raised to the power of 2 equals 9, the answer for X is 2. This is also the answer for the value of the log expression. The log is always equal to the power (or exponent) in the exponential version, and in this case it equals 2. If you want, you can find the log value in your head just by asking yourself what power you need in order to turn the base number into the middle number ("argument" number). Note: if there is no base number in the log expression (no little subscript number), then the base is 10, since 10 is the default base.
2) WEIRDER LOGS (log of 0, 1, a negative number, or a fraction): you can use the same steps to rearrange log expressions that have a fraction, negative number, 0, or 1 in them. You can still rearrange them to be in exponential form just like you can with the basic logs from earlier. The log of 1 will always be 0, since 0 is the only power that can turn a base into 1. The log of 0 will always be undefined, since no power can turn a base into 0. The log of a negative number is undefined in the real number system, since no real power can turn a positive base into a negative number.
3) NATURAL LOGS (ln x): the natural log is just a special type of log where the base is e (the special math constant e, which is approximately 2.718 if you plug it into your calculator). You can use the same steps for rearranging the log expression into exponential form. Just remember that ln x means log, base e.
4) EVEN WEIRDER LOGS (solving for X, change-of-base formula): even if there is an X variable in the log part of an equation, you can still rearrange the equation into exponential form. This will let you solve for X. Sometimes you might need to use the change-of-base formula to evaluate a log expression. If there is no whole number power you know that works, it may actually be a decimal power that you can find by using the change-of-base formula. For example, you can re-write log, base 2, of 7 as (log 7)/(log 2) and use your calculator to find the decimal number if you need it.
For more of my math videos, check out: nancypi.com
After completing my Engineering Degree I am here to learn Logarithms again.
Same bro
bruhhh same🤣
I am about to get my degree.
HAHAHA same
yeah somehow I feel attracked to the lets say "topic"
If you watch carefully, you'll see that she is teaching us logarithm. ( With due respect to @NancyPi who is an amazing teacher. )
this should be pinned
😂😂😂
where ???
ikr how r u supposed to focus man
@@KushagraNamdev Ya
I wasn't even looking to learn this, but UA-cam desided that it would be a good idea 😅 And I'm greatful I came, because Nancy is a natural teacher, but I'm equally impressed by her backwards writing skills, than in math skills 😊👍
probably left-right changed
Nobody who can understand math is dumb enough to not to be able to edit a video to spare themselves the pain of learning to write backwards.
The video is flipped , writing on a clear glass
@@LevKozlodoevbro so much nots in 1 sentence
@@LevKozlodoevchill out my guy
I'm Bachelor's of Arts student. But thought of learning something new today. Thank you for this session, its amazing to see your ways of explaining.
Eco honours?
Wait so you watched this… like for fun?
Fact : You did not come here for the logarithms.
No hablo Ingles, obviamente no estoy aquí para aprender logaritmos.
I came here because she is writing from the back of the board ! That is crazy!
@@MrNeoprox muy bien, estupendo senior! xD
@Larry 457 So did I. Stayed because she's beautiful.
how did you know? :'v
Everybody's commenting on the math or how pretty she is... I'm over here trying to figure out how the heck she learned to write backwards so well!
I don't know if that's trolling, but that's software creating the effect.
Is it software? It's obviously sped up, but watching in slo-mo it *looks* like she's writing backwards on glass. You can see her concentrating on it, also in a couple places she leans back a bit to see where she's putting the pen.
My guess: Mirror image video. She's writing normally and then the video flips left for right so we can read it.
Good question and clever solution.
@@jl_woodworks being left handed when you write the hand passes over your text not the case in the video so she is in fact Right handed. Knowing she is right handed and the fact she is writing with what seems to be a left hand the image would have to pass through a mirror. A transparent mirror ua-cam.com/video/4kKL32opewI/v-deo.html So that is a right hand and no wedding or engagement ring and an awesome tutorial on "Logs" as she calls them. Now can you do a video on Einstein and his field equations because that is a way hotter topic although I have to say I have never been so moved by a logs tutorial. Nice work!
I m 80.... I learnt logs in school.Then I realized I have forgotten a lot....but this video got me back.Thanks a lot .
My sincere gratitude Nancy. After 30 years, the concept has become lot clear. Thanks a ton for the clarity and the method of teaching.
Senior in computer science now. I remember nancys videos helping me out a lot through calc 1 and 2. UA-camrs like her are truly heroes.
no joke, this channel saved my GPA.
Man I am only halfway through precalc and somehow ended up here hahaha
Teacher: "today we are learning logarithms!"
Girls: ughhhhhh
Boys: *i am really gonna enjoy this*
I am studying computer engineering major ^^ My first 'calculus for engineering' midterm is on monday. I am excited. Actually I was watching limits videos but then I jumped into everything in that channnel suddenly.
@Michael for what topic?
I love how, even though she's an MIT grad, she reasons through these problems like a beginner without assuming any steps. Her voice is so soothing, too. Thanks, Nancy!
proves she's humble and REALLY knows what she is talking about.
NancyPi for ASMR career!
She is a very good teacher.
2024 anyone here
Yeah
Yeah
Here
Yeah bruv😎
Yess
The format of your videos is fantastic and your explanations are very clear and concise! Thank you.
This is weird: she's pretty, knows math, and can writes backwards
she doesnt write backwords, the video is flipped
@@cantthinkofaname3421 she's left-handed.
She is gorgeous tho💯❤
@@canaldedionisio5453 no she's not, the video is flipped
@@huielchan4175 really?
If she was my teacher I would never miss a freaking class
Lmao simp 😂
Rofer
I would purposely fail so I could take her class again.
Don't lose Respect for yourself
@Innocent Boy I think @Talal Klaus is gay. He would never understand.
I really love how you start with easy stuff then gradually increase the difficulty. That seems like something a lot of math teachers, and especially professors struggle to do. Much easier to learn how something works with easy problems, then apply that understanding to harder problems. Than it is to learn how something works with harder problems.
All the teachers I have studied under ( either good or bad ) always taught easier questions first. It is a basic responsiblity of every teacher to teach basics first and then complex sums. I dont think one should appreciate someone this much for such a basic task
I've been through college and do math regularly to stay sharp, this is the best explanation of logarithms I have ever seen.
everyone talks about her beauty
and me thinking about her voice is so relaxing ^^
Yeah ikr
Yes
P
E
R
F
E
C
T
And me thinking how she is writing from back of glass with almost laterally inverted from left-right
Yes
Many people are asking how she is writing. She is writing on "glass board aka learning glass" on back side. Then computer flipping the image. She is surely writing using right hand
She's probably the first person who figured out how to violate the CPT theorem. It's something in Physics where C=charge, P=parity and T=time. By violating CPT you can observe yourself as if you were looking in a mirror.
@@manbeardogstar MIT taught classical mechanics and electromagnitism course on edx using same glassboard! So physicist violate the physics law!
she learned it from chen ning yang,tsung dao lee and chien siung wu@@manbeardogstar
I miss my second year of university watching these kinds of videos and Nancy was such a help!
You have a strange power to write backwards! Amazing! Oh, and all your math information is great, too.
it's reversed
@@michaeleissenberg637 oh
so there is a glass wall in the middle of her and the camera, she is writing normally and after recording the video is laterally inverted for us to understand
mirrored
@@meghraj28 Duh...
The way she appears to “write backwards” is simply that the video image has been flipped horizontally with software, or more likely by photographing her in a mirror. She is right handed and writing forward on the back side of glass. For any who still doubt that the image has been flipped, notice that her hair is parted on her right side in her lessons, but on her left side in her Q&A video.
Very clever, Steve!
you are right
Mind = Blown
She could've also learnt to write backwards. It isn't actually that difficult! I write my class notes backwards so nobody can ask for them and see how bad they are loll
@@drriff5720 This is also discussed above. Steve is right. Dr. Riff is wrong. If she were writing on a mirror, we would see both her reflected and unreflected hand. We don't. It's exactly as Steve writes, and it's the same explanation I offer in another thread. Stop making it harder than it is.
Damn everyone simpin on her lmao
Aw, im sure someone thinks you're pretty too.
@@Balloonbot nah we ain't simping she the real deal, wife material
@@Balloonbot OC is a guy
Ain't a damn thing wrong with that brother
Young woman on a UA-cam video: *exists*
Simps on UA-cam: *nows my time to shine*
The way she teaches us or understanding or solving doubt it's awesome
I didn't learn half of the maths content due to lockdown. This is saving my life lol
Me too
Haha same condition
“Due to lockdown” nah bro you’re just lazy lol
@illusionist dawg it’s easy asf, no teachers in ur face, u can stay home then go to school the next day, online attendance, shits easy asf u just have to know how to use it. If you’re constantly withering in your sadness about not seeing ur friends then obviously you’re not gonna do good, but if you stop feeling sorry for yourself and get up it’s pretty easy. 90% of you guys that say “quarantine ruined my grades” or “online school is so hard” are the same mfs who spend all day on their phone rather then studying/paying attention
Ugh same
She makes log understandable. The snail concept is absolutely ingenious. And her notes at the top indicates exactly where to find what is needed instead of watching the whole video. Outstanding!
Logs are so good to work with. Great video. Calm as usual, which is what makes you shine !!
Thank you for the memory of maths in school. Did this in early 70s. Glad to remember the stuff but I have completely forgotten the change of base formula. Something fun to find out in retirement. You are a great teacher.
Kids came here for the maths
Men came for the pretty girl
Legends came for the comments
I came here to see whether the video is flipped or she is writing inverted and came for the comments too.
how dare you calling me a legend :)
yes straight away I came to comment section to see how many are like me...(I mean, Impressed by watching mam in thumbnail)
I came for all of them tbh.
I am shit in maths
I like beautiful girls
I like to read comments
@@mizel_1121 yoooooo haha... Tbh I really like her calm voice and I finally understand Logs for real
You have broken this down in a way that's easy to understand! I also love that I can physically see you break down concepts your videos. A lot of other UA-camr's just record their screen's; you never actually see the person explaining steps. I think seeing the body language of someone teaching is crucial to effective learning. Thank you for the video!
u look like her
Name your kid moe?
@@bloodstainedramparts6631 are you stupid
A great comment, I came to this understanding not to long ago. Now I have changed how I film my exercises for my channel.
@@bloodstainedramparts6631 you itch
Once you draw parallels to exponentiation (log is inverse of exp), the algebra gets much easier if you are familiar with exponent rules. The really cool part about logs is how they are calculated for non-integers!
Coming across this channel is by far greatest things in my life i swear
Never thought I’d see the day I learned logs in 19 minutes
You just learned abcd of log
Explore log equations
You did not
I'm about to watch the video while I could be watching GTA. But it's only because she does a good job at explaining everything plus this is what I'm currently doing in precalc 2
Making logs is much easier.
@@halfhumanhalfzombie "Making logs is much easier. " as long as you're not constipated.
I wish that I would have had such a calm math teacher back in the day.
what about your math?
@@janeza382 I tested out of quantitive reasoning :)
Everyone is appreciating her teaching and her ...
My question is how the f she writes on glass in wrong direction or in right direction to make it look like right fron viewer's perspective.🤔
I love the way she explains everything calmly
I've watched this 3 times in a row, still haven't gotten around to the math part.
Keep trying bro you will succeed
@@anengineer152 That is because, she is pretty
This is not for bright minds.
Is very easy sweet lady
the best thing to do is become a model or secretary, that suits you a lot more, sweet stupid party girl 😂🤣🤣🤣🤣
@@popeye007ful tf is wrong with you
@@popeye007ful You're spamming that everywhere. You're probably one of those old dumbasses who doesn't understand basic math...
I believe everything you say.
XD
:D
Ooof
hahahaha.
hahahahahha omg !
It's always good to study logarithms, even if you already know them.
I just learned it and I already forgot so here I am trying to make sense of how to do them.
@@Roboseal2😂😂
this is not the type of content youtube should recommend randomly in my feed. This is something i search for if i need it.
"Mom believe me i was just learning mathematics"
.
hm hm
.
hm hm
.
hm hm
.
hm hm
I'm not gonna write
.
hm hm
I love how she uses terms like "weird ", " Even weirder " ❤.. It definitely makes the classification easy .
hope your not feeling any "weirder" during her class lmao
@@mcdonalds1499 huh?
simp
@@mcdonalds1499 Lol u weird for saying that
stop being a pervert jesus christ
Literally the best (intermediate level) video on logarithms I've ever seen.
Na main samjha, na main jaana
Jo bhi tumne mujhse kahaa hai Senorita
Magar phir bhi, na jaane kyun
Mujhe sunke, accha laga hai senorita 🥰🥰🥰
hahahah that meme
🤝🤝😂
Everyone talking about her looks, but I'm amazed by her handwriting.
Fact:Came here to treat myself with the hilarious comments 😅😉
You're an awesome teacher!!! I'm a retired engineer that worked hard on things but you make it so much easier. Thank you. I wish you were my math teacher back in the day. I learn by visualization, examples AND theory; not just theory. That method, along with theory, gives me the greatest understanding of any subject. I've also tutored during college and used the same sort of "understanding" rather than just theory. Many of us learn much better that way!!!
It helped me a lot.
Thank you so much mam
You're amazing ❤❤
We need more teachers like her
this teacher helped me in my JEE exam thanks a lot Nancy maam
I am Ph.D. student in the field of computer science and I really have no clue why am I watching this at this hour.
I'm a master's graduate looking for a job but I have no idea why I am watching this or reading the comments. Looking at easier tasks done by other people delivered in a unique way after a long day seems relaxing I guess :)
Oh we know why you are watching this ;)
You probably forgot what a log is
Coz she is hot isn't it
same here
where are the bgy lions?(Bgy aslanları nerdesiniz?) bgy=today's group enough
Hocam sizden daha iyi anlatiyo :)
burdayız agam
@@kaiserr6 😂😂😂
@@berkayturkylmaz4308 dinleyin bakim
Ccc BGY Geldi Ccc
you gotta do more videos, so well explained and easy to follow
you not only make it understandable but i feel like you understand me, i hâte maths but have an eager need to learn everything so i end up clicking on your videos anyway and you just look like you understand me and are comforting me i feel like you’re a person somehow idk
main point is you’re pretty cool have a great life
Let me tell you that there is a mirror effect in premiere Pro that she's using. This is not the fact that she is writing in reverse way for us. The mirror effect just places her from right to left and the way of writing from right to left as well. I hope you got it.
That's not making sense to me... Please link to a video that illustrates this.
@@Dice-Gamble Please watch how to mirror a video with premiere pro...
I had my doubts. It's almost impossible to write soo fluently in a reverse fashion. So I was just flooring through comments to search your response. So tonnes of thanks to u for the clarification.
Yeah man I've been thinking about this all the time, and found out it's in the editing part
@@ayushagrawal8198 holy shit this thing starts at $2000? tbh not worth for the value. its fancy and all, but doesn't really do anything extra than a decent clean whiteboard.
I've never had a girlfriend before. Thus, my x is undefined.
Just talk to them, it gets easier. If you can try to tease them a little, girls love it but not too much.
My X is always reference error variable not found.
LOL!!!!
Puns are often considered among the lowest forms of comedy, except when they're hugely clever and hilarious. Well done, sir.
@@christopherscottb Mine X's seem to always = 0 or...... My10 X/s= 0.
Error undeclared, first time use in this lifetime
I love your gentle and easy, clear approach! Thank you 🙏 😊
I am from Germany but this is way easier than our teachers teach us the logarithm. Thank you!
I clicked on this video just to see the comments ^^
Yeah me too
Me too
I came to see if she had onlyfans
@@aaditk6581 underrated comment lmaooooo
Me too
Seems like I just learned logarithms much better than anytime back in school. Thank you!
I bet your teacher didnt look that good 😅
I don't ever remember learning logarithms or what they would be used for. But I now know how to solve them
These are super easy lol
Es increíble lo sencillo que lo haces, felicitaciones!!
Thanks for the class. I wanted to review logarithms and this class really helped me.
I love and respect this girl so much! She has helped me and many others like me through some very rough time and I want nothing but the best for her! I hope she’s doing well
Anyway, she teaches quite well!
This young lady is remarkable: lot's of video's on calculus, trigonometry, algebra etc and they are all easy to follow with simple to follow notation. Really fantastic stuff!
Na main samjha, na main jaana
Jo bhi tumne mujhse kahaa hai Senorita
Magar phir bhi, na jaane kyun
Mujhe sunke, accha laga hai senorita❤
🤝🤝 same
Excellent demonstration. Thanks for the clear guidance.
if she was my math teacher I would never fall asleep in class.
You still might find yourself dreaming though...
but you could not concentrate on learning either
Not me. I tend to fall asleep straight after orgasm.
I would be in love
She’s not even THAT pretty tbh
OMG! This is soooo nostalgic, I used to watch Nancy's videos during school. Today, it's been more than a year since I finished my college.
Omg! Thank you so much this make solving logs for me even easier and this was just in the right time to see this since I would take an exam tomorrow.
Thanks for the throwback .. almost 4 decades now and was doing logs using a plain Log book, Darn heavy one if i might add.
NancyPi's tutorials helped me get my engineering degree. Thank you so much, Nancy!
I'm on summer vacation and I'm still watching.
y
Why not, genuine interest in math is a thing :P
Elizabeth Rocha hahaha
Y summer is freedom
Best comment so far
Nancy, you are the best!! Thank you for your videos, it has helped me a lot in university !!!
I'm 69 and haven't studied math in many, many years in college, and just do it now on UA-cam for fun. You are an amazing teacher!
This is the most comprehensive and understandable video I've found about this topic. Great work!
I am super thankful for coming across your videos Nancy Pi to better refresh on logarithms. Your instruction and legible handwriting were an added plus to assist my 12th grader in her dual enrollment course. Wish all instructors were as clear as you!
Love your videos. Your video gave me easy thought to memorize log formulas. Respect for you.
Your persuasion skills are very nice. Your videos helped me a lot to figure out.
wow, youtube's recommending me something good for knowledge and my eyes.
This video is getting recommended to me everyday. UA-cam cares.
once again. 3.10.
And again. 30.5
"knowledge"
underrated
Found Nancy several years ago . . . she is my go to when I need a memory jog when I'm tutoring a higher level student (I teach developmental algebra) or an old student needs a better explanation than they're getting in their upper level coursework. Thank you Nancy! (PS My campus has a "glass" for faculty to use to record videos . . . it is much harder than it looks, takes a lot of planning and preparation but the results are awesome!)
literally taught more than my teacher can every did. Thank you SO MUCH!!!!!
I have a great math teacher; but I never understood it clearly until I watched this. I find it easy now thank you!
You have a gift for teaching. I read the text book, watched the lecture(s), and still only understood bits and pieces; something you manged to clarify in a mere 20 minutes. Keep up the great work! Subscribed.
You’re truly saving my grades
Thank you for this video, im taking college chemistry and I haven't taken algebra 2 yet so this is a necessary foundation for dealing with pH levles
The good thing is how she managed to teach us so flawlessly. Like it's barely edited. Just real talks
Thank you, Nancy!!!.. You’re helping me help my 10th grade granddaughter!!!- Carlos( a 71 year old retired mechanical engineer who studied this soooo long ago, I cannot remember, haha!!.. you’ve helped me “ refresh my memory!!
Came hear after a year, helped by youtube algorithm. I see alogrithm is a man of culture as well.
In grade 11 and doing add maths...just found this channel and its very helpful...keep up the good work
I went to High school a long time ago - that means I am old enough to be your dad and maybe your grandfather- I just want to say that you are an awesome teacher! Keep it up young lady. Stay blessed always!
When you realise the comments section gonna be surely simpin
lmao i expected atleast 1 comment to be abt the maths but nope
Key word mate; bilateral.
More like simp-lifying!
Nancy..you are a queen for teaching children math so good...this is amazing and you have helped alot of people understand math
19 minutes of something that I really wasnt sure what it was, but I liked it.
This is hypnotic. I can't take my eyes off... the logarithm.
I've been coming back and watching this periodically during my logs unit just to see how much more I understand
1:25 "more power to you"
I see what you did there.
Nancy, I watched your video and I understood logarithms. Thank you for the nice classes you give us. Not only you are a very nice teacher but also you are a Cutiepi. Thank you!!
Wow, what a wonderful teacher you are! Wish I had a teacher like you 46 years ago!
Whaattt😂
@@kING-gt7knnot everything is an attraction joke yknow
apart from her beauty I like her efforts to teach us about logs rather than making videos on cringe tiktok.
Keep up the good content
Thanks
Finally I have gained some knowledge about something that I never understood. Logs! What an excellent way to teach it. Why don't other math teachers teach like this!
I really hope you make more video's like this. I have lots of questions. I am simply a math enthusiast that can appreciate math but could never really deal with it the way I knew I should.
Thank you.
OMG I completed my engineering degree 2 years ago and your video just poped in the recommendations.
Never seen such a beautiful teacher like her teaching maths😍