Introduction to Logarithms (1 of 2: Definition)

[@Mohammed-pe6oy]

Eddie, you need to stop teaching students, and start teaching teachers all over the world on 'how to teach math' - loved it.

[@pixiedust838]

I agree! This helped me so much and will be a great approach to help younger students learning powers too

[@englishsurvivalguide7482]

Agree! Eddie, wish you started making videos back in 97. Anyway, no better time to start and learn concepts that frightened me back in the days!

[@livethefuture2492]

well good thing its on youtube, so Everyone can learn from them.

[@Nnsingh-si1720]

I'm a math teacher, I look at these videos to learn how to teach the topic rather than the material

[@ronniewaghmare7900]

Teach students as they will be future teachers

[@Todaywalnut]

You are the first teacher that made me actually visualize the logarithmic conception. Wow

[@gomatichoudhary5537]

Thats ture because in kota they took direct properties and exercise fuckin bitch system

[@rajeshjoshi3748]

@@gomatichoudhary5537 u are supposed to figure that out urself if u are indian. dont be stupid.

[@lemon5848]

No matter how many times I try and understand logarithms, it's really confusing, I couldn't even understand how the concept worked. But Mr Eddie here made it crystal clear in just 2 videos, the world needs better teachers like him.

[@Alpha-bz6ke]

@_ Shyeoran Math is an interesting subject yet unique to everyone. It all depends on what you think of it, math topics are just there to guide you not to make you successful in it. A lot of people forget that mathematics is the foundation of many concepts and if you develop that sense to understand the structure behind that concept. Then it will more likely help you in the future.

[@preetiraut787]

Made me to visualize too! I'm in tears :')

[@suntzuwu]

For the first time, "X raised to the power of 0 =1" makes sense. Thank you!

[@rhpmike]

I was a tutor for the math portion of the SAT and this is the first time I've actually understood why this is true.

[@Sakshi-xo7jr]

Can y'all explain it please. I still didn't get it, in my head i still think it ought to be zero

[@Komo-en8dn]

@@Sakshi-xo7jrlet x and y be any number x^y/x^y = 1 because they are the same number x^y/x^y = x^y-y =x^0 x^0 = 1

[@arcs4243]

@@Sakshi-xo7jr so think of his explanation like this. Say you have 1 apple in your hand and this apple will double every 1 hour. It means that at 1 hour from now, you will have 2 apples, and 2 hours from now you will have 4 apples. Now ask yourself how many apples was in your hand right now? Currently it is at 0 hours. Therefore the power of 0 equals 1 apple since no growth has happened.

[@Sakshi-xo7jr]

@@arcs4243 oh now i get it! thanks for taking time to explain!!

[@ujokey]

His way of teaching is very much interesting.And obviously 100 times better than any other teacher.Really helpful

[@MTLTV-eu4nv]

I have watched his videos, and I notice that he really does what common core purports to do with math (show students “how the gears turn”).

[@inkuban]

This dude demystified an ancient magic. He proved most people who taught logarithms did not actually know what they were teaching.

[@Christopher._M]

He basically used a simple real world application and taught. Unfortunately some teachers are just lazy and don't feel like they get paid enough to put in this effort. That or they truly don't full understand the concepts themselves and just repeat what they have been taught.

[@max4865]

@@Christopher._M More often the second one

[@huyxiun2085]

@Jishan Amhed: I hope i'm too hard on you, but honestly... You don't know what your teacher knows and doesn't know actually. I'm pretty sure many math teachers do not see why it needs to be explain that way to be clearer, because it all sounds obvious to most of them. The only known fact is that you didn't understand back then. Don't project your failure on your teacher: yes, it is his responsability and partially his fault, but of course it's a shared responsability, and truely, it's mainly yours. Obviously i can tell you this because i was in your shoes. I didn't understand either. I blamed my teachers for being so bad. And eventually, i realized if i had pay more attention, or work more, i would have understand eventually. That what Mr Woo did, basically. Regarding the video: We can all agree it's way clearer being explained this way. When only ONE guy manage to do things in a better way that MANY other guys, who are still MORE ADVANCED than the rest of us, what does it mean? That the other guys are failures? Or that the one guy is a genius?

[@manassikdar1]

he is young and thus enthusiastic about his subject. a few years down the line due to being underpaid, stressed with extra bs, office politics, he too will stop giving a damn and so will any other person. there are deep faults in the education system that no one wants to address.

[@MaxFarAway]

I'm stealing this explanation to teach my class tomorrow.

[@rhabdob3895]

Me too. And I don’t teach! And if I did, it would be fishing related. But I’d still explain this because I can now.

[@alvarolealjr]

you can copy his material, but you will never copy his teaching talent ;)

[@wuhanclan]

@@alvarolealjr This is a pretty messed up thing to say actually. Why would you say this? This is like saying that you hope that there are more bad teachers in the world because you don't want someone to be as good as your idol. I would absolutely want any teacher watching this to be able to copy his talent. Isn't this why he's posting these videos? To help students learn and also to help fellow teachers with ideas on how to teach certain subjects.

[@suzakuk2300]

Meeee tooooooo!!!

[@adulthumanfemale8666]

I hope you credited Eddie, though.

[@xjyoyo]

I am in my 40s and learned all these math in the best high school in my hometown and although my math wasn’t too bad, but I always felt struggling to truly understand the principles behind those rules. Eddie’s teaching made me to thoroughly understand the essence of these mathematical concepts and rules! It’s amazing! I got to recommend this channel to my daughter who is in year 10.

[@jongu71]

I have been a maths teacher for over 20 years, and I must admit I have never thought of that elegant and intuitive way of explaining negative powers and the power 0. Thank you for the inspiration!

[@tstrotstro5038]

You’re literally out performing my instructors at my college, thank you for being so devoted to teaching. I commend you sir

[@naveen5126]

This man is like the coolest teacher I never had

[@rochditidjani]

One of the best explanation of Logarithms I have seen in my whole life. I wish I had you as a math teacher in my younger days. I am 64 today.

[@-ShootTheGlass-]

I’m 52 so this is 36 years too late. First time I’ve listened to Logs explained like this.

[@je9625]

Never too late !

[@johnrandall125]

Yeah! I feel it too bro! This is the first time it has made any sense!

[@weirdapple6030]

Mr. Michael, but why you watched it? Isn't it abnormal....oh man!

[@dugies]

@Dynamic What does boomer mean?

[@satishshah7767]

Superb explanation.👌🏽👌🏽

[@seanm028]

I love that every time I watch an Eddie Woo video, I have an epiphany. This is the style of teaching that I strive to emulate, and Mr. Woo makes it look effortless. Keep up the hard work!

[@michellewest6929]

I love that you actually care about the students. I wish my teacher would look up different explanations or at least bother to modify her orthodox, stubborn and jargon-filled method of throwing definitions at us.

[@suteye4443]

Dude this helped so much, I missed all of the teaching because I was sick and I have a test tomorrow. Absolute lifesaver! 🙏

[@milandas2128]

Sir nobody explained logaritms to me in such a beautiful way. I can now really visualize logs. A big THANK YOU to you SIR!!!!!

[@MrStickWar]

You DID NOT just give me a way to understand logs after cluelessly using them for years….. my hero!

[@hkrumble]

Thank you, Eddie! This is the best explanation I've heard of logarithms and it's all clear to me now.

[@High_Priest_Jonko]

OMG EVERYTHING MAKES SENSE NOW Lol

[@katelyn7359]

Nkmm

[@buellterrier3596]

Bachelor’s degree in Physics here, but this is by far the best Math teacher I’ve never had. I’m still learning from you Mr. Woo.

[@satishteja990]

Everything depends on teaching only..if a student perfectly understand what u r teaching believe me he will be a successful man.. he is the best teacher have been seen

[@njjkoo6415]

I watched every video before this ....and did'nt get a single idea of to what it was....now i have every idea of to what it is ...you're like the best teacher

[@oumery3285]

I can't find full course of exponentials, can u send it to me if u did find it? I feel like I need to see it before this.

[@DJAbillitea]

I wish your videos were around when I was in high school! I'm nearly 30 and your videos are helping me now to teach myself electronics engineering.

[@sky4ce09]

Happy bday then (late)

[@Ivanko71]

That's a very long time now 😁😂

[@anish7183]

why are you teaching yoursef engineering

[@tensaijuusan4653]

Mr Woo - you are a GREAT teacher - the first one I've come across on KZbin to actually present an explanation rather than show off with a mere demonstration of the properties of logarithms. American students should know how lucky they are to have you as their math teacher.

[@rameshemv]

Wow! This is the Aha moment for me. The Growth Rate/Time is the best analogy so far to introduce Logarithms. Thank you for making it so simple and "obvious"!

[@hamidkiangaikani]

Only if I had ONE teacher with that quality and enthusiasm... Thanks very much. ALL THE BEST

[@slykhajiit2]

I was surprised to see that this video only has 385 likes. This teacher is so underrated

[@randomviewer1285]

Look at the views now 😉

[@kd013n]

...and the like button is much of a growing machine now

[@Manas2222]

7•4 k right now.

[@Shiva-pu8nb]

Now7.5k

[@brindabellabella2354]

@@Shiva-pu8nb now 10K

[@gogobram]

I'm 36, and have a master in industrial engineering, always been fond of mathematics, ... and I have to say that this is the BEST explanation that I've ever seen of this topic.

[@daverumpel]

Wow! I'm a programmer, and I've had situations where I used logarithms. But I never truly understood the meaning of logarithms till now. You're a god!

[@kalliboymusic]

What you were programming back then?

[@shakilthakur2674]

it's too much :(

[@codebrothers5544]

Best explanation in my entry life! Never I had tell the background, why we need logarithm or why we need exponents and all the stuff. Never saw that in the perspective of growth rate and time. Please God, let this men be a International teacher for every single school and fire all the rest!

[@edyfinance2993]

you have so much energy as a math teacher. good on you.

[@pauligrossinoz]

Now _that's_ an inspired way to describe the relationship between exponentials and logs: *Time spent in a doubling / tripling machine, where the double means base-2 and triple means base-3.* _Brilliant!_ 👍👍👍👍

[@annas9712]

you're definitely the best math teacher I've ever seen, thanks for being you, thanks for being so amazing, thanks for being a math teacher, and thanks for having a KZbin channel and teaching us

[@charupatel0625]

Agreed

[@keramidasnicolas2079]

I wouldn't put it better !!!

[@ibrahim.allahwala]

What a way of teaching, cool , no one explain in such a easy way. Keep sharing.

[@afrinnigarcalik6344]

Nobody has ever taught clearly this topic before. Thank you sir

[@vinciousmacabre8193]

I have never ever ever EVER understood logarithms or even exponentials SO CLEARLY and so fucking elegantly and deeply until this very simple, elegant, coherent explanation. Why has no one ever told me this before? Instead of the mind-numbing approach of 'this is the definition, remember it', you actually told a story--the way maths SHOULD be taught, and, conicidentally, the best way for me to learn anything. I am a 27 year old physicist going for my master's, and you're the first person to ever explain this concept so beautifully. Seriously, thanks. I became a better physicist because of you tonight. Also, I can't believe KZbin never recommended you before. What a shame.

[@JaronCarter]

Eddie, I have been in many different math courses over multiple universities and this is by far the best explanation of logarithms I have yet to hear. We need more teachers like you! I completely agree with the comment stating you need to teach teachers. Thank you for sharing.

[@ntuthuko3175]

I'm a civil engineer who enjoyed maths at tertiary and beyond. I must say, this is the best log explanation I've ever encountered! I feel like i never understood logs until now.

[@xXRandomPianoXx]

I’m 22, and I will be starting my PhD soon. I found myself struggling to understand basic, basic math concepts in both of my introductory physics classes. I’m so grateful I found your videos. Thank you, Eddie!

[@oghenefejiroakpodamure7788]

Nice

[@xXRandomPianoXx]

D T I live in the states, so I guess American schools? But personally, I think I just have a hard time with math in general mostly having to due with lack of practice

[@martinmorgan5004]

@@oghenefejiroakpodamure7788 l lol no

[@martinmorgan5004]

@@xXRandomPianoXx loop no plpll lol p

[@StanEscobar]

the greatest thing about math is that it doesnt change. In 20 years I'll be able share these videos with my children and they will still be relevant

[@nathanwhite704]

Math doesn’t change? It’s changed dramatically just in the last century, whole branches were created. Even some of the rules and formulas that are used today were made about 100 years ago. Math might change slowly but it does change.

[@akrititalwar5119]

Sir, you are the best!! It's amazing how you can make each and every concept so comprehensive. You make maths so much more meaningful and fun. I look forward to watching your videos and understand these concepts which even though we have been using since we were in school but never really understood. You are hands down the best teacher.

[@Savoritas]

This is one of the many days that I am thankful for learning english. It gives you access to so many things that can enrich your life. This has helped a lot, thank you!

[@anthonyamrozowicz1161]

I have 2 math degrees and i dont think i ever understood logs as well as this man taught them. A good teacher makes a huge difference

[@rashadnv2822]

You really are the math teacher I wish I had. I hated math all my life, till now. Never thought math would be so much fun. Best math teacher in the world. Thank you so so so so much.

[@h.u7197]

Perfect, absolutely perfect and clear explanation..... amazingly put forth

[@RaineBaljaks]

Dear Teacher Eddie, something so confusing is now my new favourite maths lesson. Thank you very much for teaching with so much charimsa, confidence, and clarity! You are amazing!

[@Matt-sc6gg]

Dang, this explanation was the best!! Thanks, Eddie sir! What a beautiful analogy to teach logs! Loved it! This is gonna help me so much in computer programming, I'm watching the entire log series you made! Thanks again!

[@study8236]

Mr. Eddie youve been such a big help for me in mathematics ever since I started highschool. You are the only teacher that I know of explains in such a way that is easy to grasp. Watching you makes me become even better in mathematics. Please, never stop posting! Thank you so much for all the amazing videos you make on youtube.

[@utkarshjaiswal1727]

Sir ,you are great you make the concepts crystal clear for students

[@jermaineclarke4298]

I cant imagine the rate the human species would grow if all teachers taught with this level of passion,intuition, knowledge and dedication. Truly a job spectacularly done...

[@michellewest6929]

This is such a good explanation, omg! Thank you so so much! Such a helpful way to look at it. I didn’t even have to force myself to connect the pieces together, it was so effortless! You did a really really great job!

[@Teachings-p7y]

Eddie, you are a Great teacher, you are the first teacher that made me understand the basics of logarithms. I mean it was so clear. Thanks

[@Notyouranalyst]

3:14 good voice modulation (made my day)

[@jojoe2379]

In my entire school life, math was never never makes any sense to me until now. you are doing such a wonderful thing spreading the knowledge! thank you !!!!

[@trustsfundbaby7344]

I think it might be helpful for some students to show that logarithms are to exponents as division is to multiplication. They both are asking what did you either raise or multiply a number by to get an answer. So recall 10/2 = 5, but how exactly did we do that? We had to determine what we had to multiply 2 by to get 10. So logarithms are very similar to that. So for log base 2 of 1024 is 10, but how did we do that? Well we had to determine what we had to raise, instead of multiple, 2 by to get 1024.

[@parthnaik1838]

Well explained

[@MA-bm9jz]

Corey Smith you mean if you do lnx°e^x=x since they are inverses in the group of all bijective functions, just like multiplication and division in the real numbers monoid

[@infinitesimotel]

Absolute sweetness of the highest order!

[@jasonjackson4555]

This is the best explanation of logarithms I’ve ever seen. I wish this video was around waaaaay back when I was in high school. My teacher did not do a good job introducing this concept to us.

[@hamadhussein315]

That’s actually 4 months of this school year‘s mathematics in less than 8min

[@randomasiankid9588]

brother you've saved my life. i can't even begin to thank you for teaching this in such a simple manner! thank you!

[@rishsharma16]

Best best best !!!!!!!!!!!!No adjective can define u !!! Different league !!

[@Mellomellody]

Oh my god. In my whole life I've been confused about logarithms all along until I meet this video today. Thank you so much.

[@ysk249]

I'm very embarrassed to tell you that I majored in Math 25 years ago and I've always loathed the mathematician who invented logarithms and made my college life miserable. I really didn't understand the concept of logarithms until now. Thank you for answering my question and making my life great again!

[@aleenaqayyum7027]

Logarithms finally make sense. I am completely stunned at that method of teaching. If only I'd a golden buzzer I'd definitely give that for u

[@HoshikawaHikari]

This explanation cleared everything up for me. Thanks.

[@lilachina6161]

If all teachers are like you, there be nothing like a poor student… May God bless you more and more 🔥

[@vitocalvani7038]

The best way to explain a tough subject as logarithms I’ve ever seen in my life 😍✌🏻

[@DineshKumar-lq2ck]

What you can not visualise, can not understand. You got the concept visualised very well. Thank you sir

[@redstoneplayz09]

Most quiet class in the universe... He's just talking to himself the whole time.

[@amitsahu9620]

Whenever i watch you teaching like this it brings smile on my face. It looks how easy Math is when you teach and how i was getting scared of math when i was in school because of wrong teaching methodology.

[@outtabubblegum7034]

So it's basically: 2^x = 32 And the log finds the x.

[@raamanujan2113]

Yeah, pretty much

[@daniahsattar6838]

You abbreviated this video and my whole life 😂💜 thank you

[@billyogilvie8637]

All these years this has been a mystery to me until now. I graduated in 1982 so....Thank You for showing us how this subject should be taught.

[@danvindsouza2725]

🇴​🇳​🇪​ 🇴​🇫​ 🇹​🇭​🇪​ 🇧​🇪​🇸​🇹​ 🇹​🇪​🇦​🇨​🇭​🇪​🇷​

[@HeyEveryoneHi]

Wait how

[@zty3529]

... teachers

[@Alpha-bz6ke]

Out of all the teachers out there. Mr. Eddie teaches more comfortably and is easy to understand for people with bad comprehension and even to math enthusiasts like me.

[@aryamanverma644]

Wait at 6:16 the logs are kinda like the speed equation in which the growth rate is speed and final product is distance and time is well time

[@RonK]

What an absolute lightbulb moment. Stunning. Thanks !!

[@balachandranpalaniappan7471]

Keep up your good work

[@aIexander23]

Im a KID and i can understand this. This guy is probably the best teacher ever!!

[@Zorbak00]

"you can't work with these things unless you know what they are" so true, more teachers should have this approach when you start going into advanced mathematics

[@wimbuh1]

stranded as undergrad student to your video is a blessing, I must say

[@aperson2020]

O man, so beautifully explained. I remember sitting in 7th grade trying to understand what the logarithmic representation means. I could understand 2 the power 5 is 32. But not the logarithm. Now i understand 52 years later. ❤❤❤❤❤

[@ILOVESOFE]

What a BRILLIANT way to explain this concept! Thank you..."growth rate" made it click for me!

[@davidmoreland8070]

Eddie, wish I had you as maths teacher in 1967 to 69. My basic understanding would have been much clearer despite doing an engineering degree at Uni later. Excellent.

[@namitakaushik8688]

You are a great teacher!! You made me understand logarithms for the first time.Thank You Eddie sir

[@Jin-ec1vc]

This is the first lecture teaching "The true meaning of logarithm". I've been focusing calculation of numbers, algebra and remembering formulas. And when I have to apply this concept to computer science algorithm, I could't find a relation with it. Thank you so much

[@BradleySchietekat]

This is brilliant; this is the first time that logs have made sense to me, or I could visualise it. Thank you

[@Alterknits]

Thank you so much for this! I start my first Biochemistry lesson this morning and I haven’t done maths or chemistry for 23 years, and had no idea what a log was! This makes everything so much clearer!!

[@Sean-t5j]

Hope you still doing well with your classes!!!

[@nargismustaqimova3575]

I have finished mathematics and now I'm 8 th class currently but I have been also taking a special course. I'm gonna learn Maths in English from amazing teacher's channel. EDDIE WOO !!! YAhoooo!!!

[@RaviPatel-io7jk]

Did you learn or not? It's three years now

[@grimki11er]

Have to say you are a great teacher for taping yourself and putting it on youtube. I have been in school for 18 years and i wish any of my teacher would of done this. Thru middle school, high school and college. Thank you for taking the time to making math fun for your students. They are lucky to have you

[@belongtorock]

Eddie. You've completely changed my view of Mathematics. Thank you.

[@KarlBonner1982]

These math videos are the best on KZbin. He looks for the most intuitive and conceptual way to explain just about any topic. Plus, Eddie is super handsome! 😁

[@lisamccray6481]

I have no business understanding logarithmic equations. In other words you stopped me from looking like a deer in headlights. That's the long version of God, I thank you.

[@jneiberger]

I wish I had found this channel earlier. So much of this would have helped my son, who struggled in math. But I did find it in time to help my daughter. This is superbly done!

[@caio_tapia]

I'm brazilian, and I don't even started to learn logarithm, but this class was awesome and super clear, doing analogys to simple and observable things is the key of a good teaching. 👏👏👏

[@venussavaliya3379]

I wish my teacher explained it this way I kind of knew from the internet but your example is the best way to learn logarithms Thanks very much, mate.👍🏻

[@ibrahimalasri8053]

Eddie your way of teaching is very interesting that makes any one who has not got a complete knowledge about Math to understand very quickly. Hoping all Math Teachers will follow your way of teaching.

[@azm4685]

Love ur teaching style ! i am in 9th class currently (23ndDecember2021) but understood all things you said!

[@mushtaqrasool9169]

This teacher has been given the true power to teach Maths.

[@silvinremedios7347]

The Best explanation I have ever seen. Dude you are a GENIUS at explaining. I listened to it and enjoyed it as well.

[@whatsupdoc3385]

Took advanced maths all my HS and college career... Could have saved half the time in class and studying if this guy was my instructor... You need to develope a teaching curriculum for teachers... Amazing job, keep it up!!!

[@satyamkumar567]

Best teacher of Mathematics I have ever seen

[@davidgreen4074]

You are a legend. Simple, and clear explanation. Thanks.

[@sancop]

My goodness!!! I love math as much as anything on Earth (other than my family) but the ONE concept that I’ve never fully grasped was the concept of was logs (and exponentials...must’ve missed the intro in my first college level class.). I am blown away at your explanation!! It FINALLY hit me like nothing ever did!! Thank you!! You are so gifted!

[@WhiteArgus]

eddie teaching logarithms in the context of population is the biggest long con of college mathematics in the history of mankind, excellently done