Introduction to Logarithms

[@user-yn2bd7gs4j]

11 years later and this video still is saving lives

[@matteoren2949]

squishy squash 12

[@firstnamelastname-rf8lt]

I'm 9

[@yingjiaoliu8729]

12-years-later says same here

[@Peter-zw8yn]

Wow didn't realise the videos age, madness

[@tubular7752]

Are you SquishyMuffinz??!!?!

[@reggiecactus2810]

Thanks, I learned more in 9 minutes than an entire 1hr and 30min session! Honestly who ever owns Khan Academy needs to be knighted.

[@Ettic]

Sal Khan his name has 4 degrees i believe

[@catherinegeli9075]

Thanks a lot I thought it was a very difficult topic but it was so easy with u teaching

[@rinamiddleton7181]

Can relate.

[@ado-]

Can relate.

[@whoreslayer]

Can relate.

[@KittyClawson]

Getting really tired of sitting in class for 2 weeks to learn the same exact shit this man taught me in 10 minutes.

[@shaylamcgrady1048]

Kai Dunn 😂😂😂😂😂😂 IKR?!

[@vossboss220]

Kai Dunn same

[@justinn5357]

It's not the classes fault. It is how you take information. Obviously you haven't learned to learn in a classroom setting.

[@That_One_Guy...]

@@vossboss220 Didnt expect to see you here

[@vossboss220]

@@That_One_Guy... Oh hello.... have we met before?

[@iamevan]

The Khan Academy is the greatest thing ever. I was absent from school and my teacher spends 2 days on logs. You spent less than 10 mins and you gave like a million examples until I finally understood this. The creator of Khan Academy and the guy from this video need to take a bow!

[@casualyoutuber3160]

+Evan The guy in the video is (from my understanding) the leader of Khan Academy and is called Salman Khan, but students (including me) at Khan Academy call him Sal for short.

[@aneeshparasnis5001]

Which schl takes logs ?

[@javariashahzad7388]

@@casualyoutuber3160 oh that's pretty cool

[@OFC943]

its calm

[@wilfredochavarria5015]

what type of sorcery is this? got a better understanding of logs in 2 minutes than in 1 hour of math class

[@JinoLim]

+Wilfredo Chavarria It is because teachers make you learn slower step by step so you can understand better (doesn't even work). They give you a work sheet on a step and slowly explains to you about the subject, then you have to jot down the things the teacher says. The teachers sometimes make it hard for you to understand and jotting down the steps might not help, sometimes the steps don't even make sense to you. The school system is messed up. The video that we watched is clear, with good illustrations and explinations. There is no way to get confused since the video uses different techniques to teach the viewers.

[@NatAlie-em8km]

my profs go through literally four sections in two hours going as fast as they can and then give you a test every week until you're done.... sometimes they dont' even do examples, they only have you write the mathematical definition (that's a paragraph long) so you can "understand" it. It's insane.

[@jeremianlastly7668]

He's very smart. And a good teacher. He gets the BIGGER PICTURE, which is the most important part. Getting the BIGGER PICTURE allows you to explain its components well.

[@douglasgilmore1674]

HE’S THE HIGH PRIEST OF CALCULUS

[@Ace0077]

maybe because you didn't pay attention in school... kid will learn when they want to learn

[@khanacademy]

There are several videos on exponents that cover this. Didn't want to rehash something covered in previous videos. My apologies if you found it confusing.

[@rakeshuk267]

Confusing? This was really good! Thanks for it, it even benefits me now!

[@alizadar3578]

Love it

[@teaaaaa1691]

literally helping me 13 years later

[@lakiducky2680]

you teach me so much, more than all the teachers ive had combined

[@tarane409]

You explained it better than my tutor who has an engineering masters degree

[@papermintco7865]

Can’t believe this video came out when I was a toddler and now I’m using it in a college calculus class. Thank you so much for what you do.

[@JahanzaibAfzal-j1u]

bro i wasnt even alive back then

[@MindlikeConstellations]

Wait, my parents didn't even meet yet when this came out.

[@simosodyssey]

This was extremely helpful because it feels like the teacher is a guy who just mastered logarithms and is trying to explain it to his classmates, while the academic teaching explains it as if every student is a maths Ph.D.

[@brucescott9773]

Thank You! I'm in my mid 50's and never understood logarithms until now. Made me smile like a kid in school finally understanding something.

[@80lala08]

thats adorable! may you live long sir :D

[@coopsarchive6776]

I've concluded that you like the number 3

[@ptgram24]

69th like

[@cielito4575]

its cause he draws them beautifully

[@adityabhardwaj3495]

😂😂

[@ThatGirl_is]

The best comment so far

[@retro_wings2291]

noice

[@brucebenik2]

I love watching old videos like this and noticing the gradual rise in resolution. The real mark of good content is when you see something in recorded in 240p still getting views 14 years later.

[@TheA076]

I NEVER understood Logarithms before and failed pretty much all questions on Logarithms but you sir explained it to us in one video and i understood everything. I think school should be online now.

[@catgamer3763]

Amit Bashan I agree, this comment did not age well

[@itsreeya3708]

this aged SO BADLY

[@adenhawk4029]

NO! I need this channel to help me pass my online class

[@rajan8516]

*laughs in online school*

[@Ok17252]

omg you predicted future

[@maxclarke4551]

I honestly would not have passed algebra 1 and 2 without you. I sincerely thank you.

[@SuperYtc1]

Max Clarke What are you doing now? Any math?

[@chillstudy8223]

I know right that's so amosinal

[@shamaali7793]

16 years later and this video is STILL saving lives mate 😩 God bless you. (I was playing with dolls when this video came out 😂 but here i am now)

[@achhantea5351]

i wish you were my teacher in high school

[@javariashahzad7388]

Same here

[@zhfily]

Same here

[@Hugowtum]

Agreed

[@Zephaniah-b6u]

The video of 16 years ago,but still teaching me clearly..😮...Just wow !! Thanks man..🎉🎉🎉

[@dereklee7124]

"i went to MIT" major flex

[@1LLUM1N8]

derek lee no doubt lol

[@programthis3805]

lmfaooo

[@abhyudaychakraborty3818]

even mit's music band name so mathematical

[@CamFlies]

What’s MIT?

[@faivana_]

@@CamFlies A university in cambridge, massachusetts

[@Eddy002]

Never in all my years of math had any teacher ever clearly said Log is the inverse of exponents. As soon as you said that all the dots connected in my mind.

[@stephenjones102]

30+ years since dealing with logs and trying to re-learn it. YOU made it so simple. Thanks!

[@jenibuckman1092]

Another phrase that can help is to remember "A little to the right is the middle" it helps because it rhymes, and it means that the little number (in size, not value, so the base) to the power of the number on the right equals the middle number. Hope this helps as well, and amazing video! :)

[@charitychoda3755]

This is a golden video very important that it can save one's life from being a dumb person to a clever one 😅. Love you man

[@mr.frederickson329]

Defining the base in this lesson was the part that clears up the mystery of logarithms. Too many math teachers can't get that simple concept into the heads of students. Way to go Sal.

[@mrnostalgialover1275]

This kind of content makes me very grateful because I’m trying to help my sister understand this and not even I did but now after watching this it makes sense. I can’t stand seeing her fail and this will help so much I literally can’t put into words how appreciative I am of this.

[@cyaih]

It's a video uploaded on the day I was born, and I'm watching it now. I think I should have known a little earlier. It will be helpful for the school class. Thank you.

[@Quoii]

I love how enthusiastic you sound whilst teaching this, Sal. I hope to become as good a teacher as you are now one day :)

[@fatimahazime9513]

update

[@kageman]

@@fatimahazime9513 update

[@Mingo197]

Update?

[@racingeye3826]

update?

[@Ash_2772]

Update?

[@sparktds]

it's 2024 and this video is still one of the most useful videos on the internet, helping so many ppl

[@emeraldnightmare2310]

why the fuck am i going to school if i can just sit here and learn everything i need in 15 mins on youtube.

[@gimmedataids]

Ze schools, zey require your monies

[@Thaddeus3rd]

Because companies want to see that piece of paper that means you went through the employee factory and passed.

[@Xz_-bv7te]

+Thaddeus3rd its sad how the education system works these days.they value a piece of paper over actual skill.

[@MrBort]

ikr

[@mocotojam6767]

Because, at least of what I know, is that maybe you can learn something in 15 minutes but you won't cause you wouldn't know that exists or like me procrastinate for search it

[@hardrock22100]

So let me get this straight .... my teacher explains this for maybe 2 weeks and is slow as heck and her self doesnt know how to solve logarithms and i learn nothing from her ....but only in the first 2 minutes i learn what logarithms is ...... Wow the education system in sweden is really messed up....

[@Hazan12345]

sephorastar13 Which is better than Australia

[@staminadaddy]

sephorastar13 its funny that a 'third world country' such as Jamaica has a better education system (which is similar to the English system) than America's

[@kanjinoir4245]

Brian Bailey cuz we islanders got it goin on yo

[@JavaneStewart]

Brian Bailey I'm saying... Went to a Jamaican high school for two years and moved to America and the difference between both education system is night and day... Teachers are actually committed to teaching in Jamaica while some here only do it for the pay check.

[@PierceBigBig69]

Better than my teacher, briefly mentions this topic for one day, gives us many pages of homework without explanation and oh yeah. We get a heavily weighted test the day after.

[@Ziyana538]

Ooh so this is basically kind of like dividing exponents.

[@amitbiswas710]

yes

[@VEXPO2468]

yessir

[@bobraws6550]

@@VEXPO2468 no, it is inverse of exponential functions, veryyy different

[@maxcoffee7607]

These were darker times of khan academy. Their newer formats are so clean!

[@haahuu-zy2kj]

16 years later and this video is still saving lives of millions

[@marioutiful]

real

[@nate622]

After 16 years this video remains a life-saving resource

[@fatimaajrouche5222]

Can you please be my teacher? Reviewing this from years ago just for the fun of it, and wishing this video was out when I needed help. Excellent explanation!

[@baijeedchowdhury2004]

No

[@trent2043]

wow i remember watching this my sophmore year of highschool now im taking my math placement test for college! thank you khan academy

[@LUISDAB3AST]

I'm currently a freshman and I'm in independent studies that's equivalent of Algebra 2 (we call it something else since it involves common core standards as well.) But basically I did Algebra, but my middle school held me back (common core) and I couldn't take full geometry in 8th. I now take the rest of the requirements in class and the Algebra 2 class afterschool so I'm not completely held back. I don't have parents or siblings able to help me so I have to lean from videos like these. I appreciate the simplicity and yet thorough explanation in these videos. They've helped me a lot, thanks guys!

[@anji962]

where u at now

[@80lala08]

@@anji962 probably graduated and settled down ^_^

[@Kaceadilla]

Really helpfull! :) P.S- 2:35 RIP headphone users lol

[@Rayzzen11ttv]

I c ur point

[@joshgeorge1027]

I genuinely died when that happened

[@daffydkiller_2234]

MYYYYYYY EARSSSSSSSSSSSSSSS

[@sipofshandy]

My teacher had a 38 min. video explaining logarithms and this dude summed it up in 9 minutes

[@sccm100]

I wish I was a math prodigy.

[@SuperYtc1]

sebastian cuello Math is just logical. Be logical and you will be prodigy.

[@chillstudy8223]

That's good you know I like that

[@finlomacdonald7739]

Uranus easier said than done

[@matteoren2949]

*were, apparently you’re not an English prodigy either

[@matteoren2949]

Jk, but really, math is about learning and prodigies are hard to find

[@LegitSav]

You are a legend! I finally understand logarithms after all these years from watching a nine minute video. Thank you so much.

[@EmmUchiha]

This guy does a better job explaining things then my Pre-Cal teacher ever has. o.o

[@iLastStar]

What are you studying in college, what major?

[@EmmUchiha]

Right now I am just working on an Associate's degree, to transfer. Later, I would like to major in Computer Science. :)

[@rakeshuk267]

@@EmmUchiha I'm pretty sure you are done by now

[@faxd3448]

@@EmmUchiha do you have a job now

[@Danieligbinoba]

16 YEARS AND THIS VIDEO STILL SAVING LIVES

[@hahahamaxine]

i have a quiz on this tomorrow i crave for sweet sweet death

[@fakkmorradi]

welcome to life

[@kevintran3330]

maxine I thought you will learn this in 2nd semester

[@videoepicreviews8437]

Same here how’d u do?

[@omaratif3062]

OMG ME TOO

[@amandaj5304]

how’d the quiz go

[@ggbeamer8794]

16 years and this video is still useful

[@tylerlowe9667]

2:34 Sal cough + cranked headphones = blown eardrums, lol.

[@noorabuelsoud4504]

ahahah true thats why I paused to see who commented about it

[@Hudstahh93xoxo]

I'm doing my A level in Maths over in the U.K, and my teacher just makes everything so complicated!! Thank you soo much, you've made this really easy! Who would have thought KZbin, would be educational?

[@DIGITALGH05T]

LOL im watching this an hour before my final XD

[@ucntcmecuzimhidin]

brandon zhang mine is tomorrow morning LOL

[@DIGITALGH05T]

welp this didnt help..mainly cuz i thought it was gonna go into more advanced stuff (i mean i got the answer right...but used the wrong method XD)

[@ucntcmecuzimhidin]

wth same lol

[@johndeasy3]

same

[@DilshanMarasinghe]

looooool mine is tomorrow afternoon. PEACE

[@DinoNuggets371]

14 years ago, gosh I'm in 10th grade and my whole algebra class is full of juniors and seniors and I'm the only sophomore and I haven't understood any of the math! This video helped me and hopefully I pass the rgents

[@angelgrace5958]

Its so amazing to see how far the videos have come

[@belalabusultan5911]

THIS is the concept that moved fme from an A+ student to the mess I am today, and now I understand it. thank you.

[@dylanknight1454]

Khan, your videos have seriously gotten me through college.. I feel like I'm wasting my money sometimes on a degree because I end up learning EVERYTHING from you anyways! I know you are a very busy man these days but a lot of these videos could use an HD update, even if the same audio and examples were used. Just a thought, love the videos. You're my hero. Thank you

[@josecitomadera]

Thanks to Mr. Khan, I've learned to take the path of least resistance. He has taught me this. The problem is that if one is not alert, the mind automatically decides to take the path of MOST resistance. By the time one realizes it, much time has been wasted.

[@AbduCola]

All these awesome comments about how this video put Logarithms simpler than they have ever been shown before. Now im all hyped trying to watch it and the video doesn't work anymore. FML

[@jr.jackrabbit10]

Can you believe it that Sal has been doing stuff like this for literal decades? And he's still going strong? Incredible.

[@xwer360]

SUPER helpful. Great way for me to brush up on the math I should remember from highschool

[@ChinoBatchatero]

Sal. You are my hero and the best math teacher tutor ever

[@thebaconwarrior669]

***** you're older than logarithms, do it the old way

[@ChinoBatchatero]

I am 22. Milton Friedman is my hero lols

[@akshobhk5363]

+The Bacon Warrior lol

[@chillstudy8223]

Kenny Zeng well that's emotional

[@irenekxm1278]

I personally think that Mr. Khan has improved much over his years of producing videos.

[@donjohn281]

I have a test on this tomorrow, March 6th of 2014, that could make or break my 3rd quarter grade. Wish me luck.

[@donjohn281]

***** YES! My 3rd quarter grade went from a D- to a C-!

[@corvu558]

@@donjohn281 where are you nowadays

[@ni6416]

I have a test on this tomorrow, December 10 of 2019, that could make of break my first semester grade. Wish me luck.

[@sareenabaig8751]

Don John wyd now

[@CoryElite]

Don John wonder where he at

[@hcallig]

I am unable to express through a youtube comment how much of are help you are making this video. It saved my sanity.

[@flamingogh_]

We're starting these tomorrow and I'm trying to impress people.

[@absalomlaku1406]

17 yrs and this video still lives on, it's a year younger than me 🤯

[@AnonyomousKING]

NO STUPID TEACHER TAUGHT ME THE RELATIONSHIP OF LOG WITH EXPONENTS BEFORE

[@EarthBornGordo]

Please don't stop making these. You're currently getting me through my pure math 30 course because my teacher is bad. Thank you so much!

[@yujieshao877]

Anyone who watching it in 2019???

[@0xdamian816]

Hold my hand sanitiser.

[@TheAefril]

I am watching in 2020.

[@emersongbla]

16y later still saving lives may God bless you

[@lukewells6621]

When my math teacher assigns a video for hw and I'm like ugh but then I see it's khan academy and I'm ight, I see u...

[@jimmckay2337]

This was the best explanation I have ever heard for logarithms. Until my moment watching this, I was still unsure of what was going on. Thank you for taking the time to share this. I understand this very easy concept now.

[@jbi1839]

For me to understand easily, I have to think that we human invented this, and in many situations, for example, we need to find out to what power of 4 will reach 64, so that’s how this “logarithm” was invented.

[@MLG-gx9sp]

its so useful to find those things 10 years later..thank you.

[@destro2898]

hello im 12 with learning difficulties and this helps me alot

[@YES-lx3py]

12 and taking logarithms?!!

[@sangeetadhaniaignoremyjtar2346]

@@YES-lx3py If I am gonna be honest I don't get why Logarithms are taught at high classes because they don't really look hard to me

[@YES-lx3py]

@@sangeetadhaniaignoremyjtar2346 Yeah I got your point But I was shocked Because in my calculus class during the college some students didn't know much about logarithms

[@sangeetadhaniaignoremyjtar2346]

@@YES-lx3py oh

[@twofacepain1020]

god bless khan academy man, not even 2 minutes in and i have a more firm grasp on this tthan my teacher gave in a week, i dont understand the dilemma in the modern school systems

[@firasismail69]

2007 holy shit

[@jagritbudhiraja6391]

woah

[@jagadishpanambur6515]

I know

[@balajisundarrajan9684]

horey shet

[@sengsavang6499]

Firas Ismail what's supp

[@chillstudy8223]

Stop, what you said was extremely bad

[@PkedYou]

You just taught me more in 30 seconds that I learned in an hour of math class. Thank you so much.

[@dhirenram4971]

You make it look so easy. Nelson is pleased

[@IsaakLorton]

Thank Heavens for youtube and people willing to teach this stuff. I had to miss the class where the teacher went over this and I've been so lost for the past week. This definitely helps!

[@caliswagsociety]

I can relate

[@santaclauseking]

Thank you so much I hated logs to end because I couldn't understand what they meant. Really really helpful

[@DaylenWestwood]

Videos like this can be so helpful. I understand logs a lot better after they're explained.

[@Amarey269]

I am totally confused in class about logarithms b/c my teacher goes entirely too fast. This video is great!!! Thanks - it is helping me to see more clearly what I can't catch in a 60 minute class.

[@chillstudy8223]

Well done, you have done yourselfs proud

[@veeru_sagar2471]

After a long 16yrs, still spreading knowledge

[@rokeyabasri2815]

Is there anyone who's watching this in 2019?...never stop learning.. Whatever the time is..✌

[@sametyarms4501]

@KABILAN S 2021 🤚

[@sametyarms4501]

@KABILAN S but these are too easy level

[@sametyarms4501]

@KABILAN S this is about luck bro :( my teacher is amazing man but they teach just solve the problem

[@TENZINNGOEDUP]

16 years and this video is still saving students!

[@leaguetcontent3019]

12 years later i found it in my recommendation

[@Admiralty86]

One reason this "works better" than class is because you can rewind, rewatch and pause these videos. Lecture is a river that's easy to get swept away by. Plus teachers always use the hardest examples they can think of because they assume the students understand the basics by reading the text. If you don't read the text chapters class will be very hard, it's kind of a bummer I know.

[@discoverarcane]

Best way to learn. Ever.

[@rg1876]

This shows the importance of good language skills to explain maths.

[@gracetomah3322]

I learn a lot here than in class

[@bradleyreschny]

15 years later and this guy has been saving me in math class

[@amnotgenjimain6027]

before watching: be like wth is log After 2 mins: so basically its how many times a number is raised/multiplies itself to get another number

[@syllevineo]

I think presenting it as a question of "2 to the power of what equals to 8" was such an amazing way of explaining! thanks

[@chillstudy8223]

This was extremely helpful

[@牧鳳夢]

This video is older than me and it helped me get a 72% in my first exam in high school 🎉 Thank you so much, I could have failed mathematics

[@XxStickOnCrackXx]

Why won't this video load?! I have an Exam tomorrow I need this!!!

[@lukesherwood5724]

how did u do? still alive?

[@01pigoso]

did it all work out?

[@xxsohalalmodexx]

6 years later and I hope u did well

[@AlainasAbyss]

I'm not going to lie. You're my hero. I have the most frivolous Algebra 2 teacher so after trying to learn a lesson in class I come home and watch your videos. You've helped so very much. Thank you for caring and thank you for being different and amazing at what you do. :)

[@Peter_1986]

"Question mark power"? Priceless. xD

[@rosiecesareo8092]

I've seen "log" come up on my calculator often and wondered what it meant. Today I randomly remembered that and looked up "what is log" on KZbin and came across this video. 😂 It's funny because at school at the moment we're doing exponents and different types of roots (4th root, 3rd root, etc.) and logarithms are actually really similar, just expressed slightly differently! Wonder why we haven't covered them at the same time lol

[@XanderAnimations]

For real bro, I'm in 8th grade and I thought this would be way harder lol

[@homen2010]

2:34 this guy just coughed directly in my ears.

[@xxsohalalmodexx]

Hearing this in 2020 I nearly had a heart attack

[@user-sz3ip6dh4t]

@Hobbyists so sad for you......😔😔😔😢😢

[@AdrianaGonzalez-tf5yk]

I'm from Colombia .. it is the best video to learn Maths in English ... Thanks a lot ... :)

[@InfamousDaHunta]

"What happened to my pen?"

[@isabellasharp5407]

I really appreciate videos like this! Even from 13 years ago, this video is still very helpful!

[@krapp2260]

2.40 your cough bursted my eardrum. The video was helpful though

[@disney1fan1stars1]

This man is the BEST!! You saved my life!