This man is a saint. What a wonderful time we live in where a guy like Mr. Khan is kind enough to share his intellect and teaching ability on the miracle that is the internet so people like me can learn in 2 minutes what an entire expensive 3 hour college algebra lecture failed to do. Thank you, sir. It's people like you that make the world go 'round.
maaan, I always used to think about logarithms as of somethings mysterious and completely incomprehensible, but 2 minutes of this this video completely changed it
I got stuck on logarithm in high school, now my youngest son in 4th grade knows about it. I always had to just turn into the back of the book to find the logarithm, not understanding anything I was doing. Wow...simple and precise. Thanks Mr. Kahn.
These are fantastic review videos for studying for big tests! They're not just about learning, but re-learning as well. Now I'm getting more confident in my Honors Math 3 final tomorrow. Here we go! Why aren't these used everywhere in Math classrooms? They should be!
I must say I'm here some 10 years later, and you have provided the best explanation for something I have not dealt with in 40-plus years. It's funny, but you learn a lot of math that you never come into contact with in your career or everyday life. However, this math course is a part of problem-solving for job training, so I need to learn it to pass it.
Thank you so much! I have my exam soon and our teacher hated every one of us and explained absolutely terribly. I didn't understand this chapter throughout the entire year and you've finally helped me understand it IN 7 MINUTES. Our teacher couldn't do it in a year!
I just wanna say thanks for putting out all of these videos. I'm studying Algebra 2 over the summer so I can take pre calc as a freshman, and you have been a great help, thanks!
Thanks for the video! Needed a little refresher and this brought my previous knowledge back. Khan Academy is amazing, thanks for making so much of math simple and understandable.
@@twopolaar599 USA, however, only the following states in USA: Alabama Arizona (+Writing) Arkansas Hawaii (+Writing) Illinois Kansas Kentucky Louisiana Mississippi Montana (+Writing) Nebraska (+Writing) Nevada North Carolina Utah Wisconsin (+Writing) Wyoming
@@TheHaakiiz I guess when you're past this stuff it's all pretty equivalent. At the time obv logs look a lot harder but they're not really. The graphs look terrifying until they're really not. In that sense they can be considered equivalently easy topics
In Simple words Log base 3 ( 81 ) means how many 3s do we need to multiply to get 81. I am learning Programming Algorithms and this subject will be essential when you learn about Binary search method.
just to get the intuition, lets take x^x as a function of f(x)=x^x. and say that when x=0; the function is indeterminate. so when x is any number but zero, f(x) defined. we able calculate the limit around f(x) as x->0+ and x->0-. (nearly at 0, from both sides). as x approaches 0 from any side, you get a very small number at the power of the same small number.lets take (1/100000)^(1/100000), it=0.99988487737. and you can go on on and on to infinity to see that 0^0 really approaches 1.therefore=1.
Maxim Zinger to get the limit as x goes to 0 from the right to be 1, you have to use l’Hopital’s rule since it’s the indeterminate form of 0^0. Here’s how you do it. y=x^x=e^(xln(x)). Now the exponent is the indeterminate form 0*-infinity. Change this into a quotient form as ln(x)/(1/x). Take the derivative of both top and bottom separately to get (1/x)/(-1/x^2). Using simplification, you get -x. x=0, so overall e^0=1. That’s the answer here. You’re wrong about when x approaches 0 from the left. That limit will not exist because there’s nothing coming from the left side and also because of continuity.
Thats high school in general, i learned jack there because of the way they taught it. they just recycle the same shitty was to explain it on the way they taught it and if you don't get it then thats it you miss out. its nice now that we have plenty of options to learn.
Holy Crap thank you so much, you're a really good teacher, and color coding it was very helpful, I couldn't undertand it cause my teacher made it sound so complicated. Thanks again, for sharing!
Hey your video about logarithm does not contain the full basic program the video is very good but I have been searching for exercise of the type Given that log 4= 0.6202 log5 = 0.699 find log 500 it's so terrible please make a video of that
Because 10^1 = 10(*1) therefore 10^0 = 1 and 10^-1 = 1/10 notice you can multiply by 1 an infinite number of times and still get the answer. Also, there is a multiply difference between the numbers, conserving the logic (1/10*10^2= 10^0*10^1= 10^1*10^0 I hope that makes sense
not gonna lie, you got me on the last one.. great lesson.. I will say when you said, ok let's try another one, I was like NOOOOOOOOO:) I know you have to practice and take notes to get any subject.. math is no different.. thanks again!!
I'm sad that this was so simple. I really wish I had found this specific video when I was taking algebra in high school. I actually still couldn't remember logarithms (nor did I understand it at all). You made this very simple. My teacher was horrible the way she explained it and the way the class was taught was that we were put in groups. In high school, groups don't get ANYWHERE in learning. I hope I made sense lol
Hi! I love explaining why RUclips is educational to my friends. For my Government midterm, we are supposed to create a piece of legislation, and I have decided to do mine on education and technology. What do you think the U.S. government can do to link RUclips and Khan Academy, and the classroom?
Already starting to love this stuff. I had to briefly learn about this earlier in the year for my mathematics contest. My teacher was great, but I didn't quite understand the concept of logarithms within a short 10minute period.
Question: A store has requested a manufacturer to produce shoes and sports jackets. For materials, the manufacturer has 750 m2 of cotton textile and 1,000 m2 of polyester. Every pair of shoes (1 unit) needs 1 m2 of cotton and 2 m2 of polyester. Every jacket needs 1.5 m2 of cotton and 1 m2 of polyester. The price of the shoe is fixed at K50 and the jacket at K40. What is the number of shoes and jackets that the manufacturer must give to the stores so that these items obtain a maximum sale?
Grade 9 we have a question about finding what the exponent is and a couple asking the base if given the exponent and I research all this stuff about logarithms and she tells us we were just supposed to guess it... We weren't taught it so we were supposed to just trial and error, while I went and learnt how to find it using logs on a calculator... It hurts man...
Were you ever "studying for engineering" if this is the first time you've heard of logarithms? Either way you're going to learn this stuff in a class you take sometime in high school if not middle school. There's a point to this "hocus pocus" if you continue on with your education and not give up so easily.
This man is a saint. What a wonderful time we live in where a guy like Mr. Khan is kind enough to share his intellect and teaching ability on the miracle that is the internet so people like me can learn in 2 minutes what an entire expensive 3 hour college algebra lecture failed to do. Thank you, sir. It's people like you that make the world go 'round.
Christopher Moore true
@@beautifulpain9794 they're just logarithms, it's not too hard
Christopher Moore your learning this in college lmao I’m in 8th grade
@@bhajjugade1546 your cool.
ur doing this in college, they're teaching me this crap in grade 11
maaan, I always used to think about logarithms as of somethings mysterious and completely incomprehensible, but 2 minutes of this this video completely changed it
lmao same
lmao same
you were sent to this earth for a reason lol
dkm
Because the purpose of his life is to... teach? Yeah Sal's a great teacher, but he's still a human with his own life...
@@skinach its just a joke calm down
@@skinach did you stretch before reaching that high?
I got stuck on logarithm in high school, now my youngest son in 4th grade knows about it. I always had to just turn into the back of the book to find the logarithm, not understanding anything I was doing. Wow...simple and precise. Thanks Mr. Kahn.
Logarithms in 4th grade? I'm doing them in college
I am doing them during my neet preparation
@@NetBio-Senpai based, me too
@@lol-nd5it lol im doing them in 6th grade
*Khan
thats it? thats all it is? i was afraid of this my whole life?
HAHAHA
Not a native English speaker here. When I use Khan Academy I'm glad I spent all those hours learning English. It was worth it.
I’m failing algebra 2 😭 hopefully I can learn everything online bc I’m currently not able to learn anything in class.
Did you succeed?
These are fantastic review videos for studying for big tests! They're not just about learning, but re-learning as well. Now I'm getting more confident in my Honors Math 3 final tomorrow. Here we go!
Why aren't these used everywhere in Math classrooms? They should be!
"Let's learn a little bit about the wonderful world of logarithms"
Sal sounds like he's on the verge of collapsing
Reviewing for college placement exams, really helped refresh my memory. thanks!
Same for me right now lol
I must say I'm here some 10 years later, and you have provided the best explanation for something I have not dealt with in 40-plus years. It's funny, but you learn a lot of math that you never come into contact with in your career or everyday life. However, this math course is a part of problem-solving for job training, so I need to learn it to pass it.
I'm brazillian, and this class substitued any math class i had in my hole life. Congratulations, and sorry for any english mistake ☺
I really do love this dude, learn so freaking much from him.
It's Been 13 years and Still Saving Lives...
still
Is anyone else here from google classroom cus school is closed and they started online learning
Me. I did 2 weeks of work under a day. I'm almost done
Im here by my own and I got some words from other comments about khan academy.
Thank you so much! I have my exam soon and our teacher hated every one of us and explained absolutely terribly. I didn't understand this chapter throughout the entire year and you've finally helped me understand it IN 7 MINUTES. Our teacher couldn't do it in a year!
Had to review logarithms for chemistry. Completely left my mind from high school pre calc. Thanks!
I just wanna say thanks for putting out all of these videos. I'm studying Algebra 2 over the summer so I can take pre calc as a freshman, and you have been a great help, thanks!
Had to skip a little bit [probably a unit or two] of Alg II because of a school change. This is very helpful!
Thanks for the video! Needed a little refresher and this brought my previous knowledge back. Khan Academy is amazing, thanks for making so much of math simple and understandable.
These videos have made studying for the ACT so much easier. Thank you Sal!
Which country does the ACT? just curious
@@twopolaar599 USA, however, only the following states in USA: Alabama
Arizona (+Writing)
Arkansas
Hawaii (+Writing)
Illinois
Kansas
Kentucky
Louisiana
Mississippi
Montana (+Writing)
Nebraska (+Writing)
Nevada
North Carolina
Utah
Wisconsin (+Writing)
Wyoming
@@MsVsayz Interesting. I was under the impression that the most common examination in the USA was the SAT
@@twopolaar599 Missouri does ACT
I’m currently learning geometry so I don’t understand why understand this so well wow khan is a legend
SIR YOUR TEACHING IS AWESOME . AND YOUR EXPLANATION IS MARVELOUS
I`m 18, and I understand this (Only because your a SUPER-AWSOME TEACHER!!!!!!!!!!!) !!
you're. and this is very easy to understand
I'm 14
so in that sense you think logarithms is easier than e.g. substiution? dumb
I guess your language teacher wasn't?
@@TheHaakiiz I guess when you're past this stuff it's all pretty equivalent. At the time obv logs look a lot harder but they're not really. The graphs look terrifying until they're really not. In that sense they can be considered equivalently easy topics
You sir explained in 7 mins what my professor couldn't explain in 20. Thank you !
In Simple words Log base 3 ( 81 ) means how many 3s do we need to multiply to get 81. I am learning Programming Algorithms and this subject will be essential when you learn about Binary search method.
i had testicular aids and my great uncle was diagnosed a coconut but after i saw this video, my jellybeans turned green
Abraham Molina in english please
Abraham Molina yes
@@NathanY0ung woah that was 11 months ago
Kumori whoah that was one year ago
Great Khan sahab ... Will share with my students
KHAN SIR IS AMAZING IN TEACHING
just to get the intuition, lets take x^x as a function of f(x)=x^x. and say that when x=0; the function is indeterminate.
so when x is any number but zero, f(x) defined. we able calculate the limit around f(x) as x->0+ and x->0-. (nearly at 0, from both sides). as x approaches 0 from any side, you get a very small number at the power of the same small number.lets take (1/100000)^(1/100000), it=0.99988487737.
and you can go on on and on to infinity to see that 0^0 really approaches 1.therefore=1.
Maxim Zinger to get the limit as x goes to 0 from the right to be 1, you have to use l’Hopital’s rule since it’s the indeterminate form of 0^0. Here’s how you do it. y=x^x=e^(xln(x)). Now the exponent is the indeterminate form 0*-infinity. Change this into a quotient form as ln(x)/(1/x). Take the derivative of both top and bottom separately to get (1/x)/(-1/x^2). Using simplification, you get -x. x=0, so overall e^0=1. That’s the answer here. You’re wrong about when x approaches 0 from the left. That limit will not exist because there’s nothing coming from the left side and also because of continuity.
just to clear the last 2 statements:
you can go on and on to infinity to see that f(x)=[x^x] ; while x->0, really approaches 1. therefore: 0^0=1.
Thank khan academy! I pass my test😊😊😊😊😊😊😊
Your voice sounds like a story teller in this video. happy holidays Sal--
I was interested in learning this after my teacher in alg 1 class used his calculator and it showed a bunch of logs... actually seems pretty simple
I love pokemon too
You are the best! Bless your soul
Will you be making a video that explains the natural log "e", or other uses of logarithms.
Thank You for making this video.
Thats high school in general, i learned jack there because of the way they taught it. they just recycle the same shitty was to explain it on the way they taught it and if you don't get it then thats it you miss out. its nice now that we have plenty of options to learn.
I've been stuck when doing log for days until watching this detailed video :) Thx'a lot
Holy Crap thank you so much, you're a really good teacher, and color coding it was very helpful, I couldn't undertand it cause my teacher made it sound so complicated. Thanks again, for sharing!
Thank you sir I'm doing my grade 11 you really helped me thought it was difficult
thanks you so much. I am struggling with change of base
The best teaching video ever
Hey
your video about logarithm does not contain the full basic program
the video is very good but
I have been searching for exercise of the type
Given that log 4= 0.6202
log5 = 0.699
find log 500
it's so terrible
please make a video of that
i agree
So easy now thank you
I needed a refresher. Thanks.
Am I the only one who thinks Mr. Khan sounds like the Rock?
Yeah u are the only one
He's name is sal,and yes he sounds like Dwayne Jhonson
I have a final in half an hour thanks to this I’m feeling more confident
One of the most important lessons you`ve ever made
Because 10^1 = 10(*1) therefore 10^0 = 1 and 10^-1 = 1/10 notice you can multiply by 1 an infinite number of times and still get the answer. Also, there is a multiply difference between the numbers, conserving the logic (1/10*10^2= 10^0*10^1= 10^1*10^0 I hope that makes sense
Thanks Mr.Khan
Thank you very much, God bless you ❤️
not gonna lie, you got me on the last one.. great lesson.. I will say when you said, ok let's try another one, I was like NOOOOOOOOO:) I know you have to practice and take notes to get any subject.. math is no different.. thanks again!!
Good method,sir
I have a test tomorrow and my teacher is useless. This is a godsend
BEST teacher.
ahhh omg Tysm I’ve been kinda struggling with them!
He is amazing
Awesome explanation
I'm sad that this was so simple. I really wish I had found this specific video when I was taking algebra in high school. I actually still couldn't remember logarithms (nor did I understand it at all). You made this very simple. My teacher was horrible the way she explained it and the way the class was taught was that we were put in groups. In high school, groups don't get ANYWHERE in learning. I hope I made sense lol
Hi! I love explaining why RUclips is educational to my friends. For my Government midterm, we are supposed to create a piece of legislation, and I have decided to do mine on education and technology. What do you think the U.S. government can do to link RUclips and Khan Academy, and the classroom?
I get overly energetic/enthusiastic early adulthood age Baltic/Slav man vibes from your voice.
Thank you! I got this as a sixth grader :D
Solve for 𝑥 given the logarithmic equation 𝑙𝑜𝑔11(4𝑥 + 3) − 𝑙𝑜𝑔11(2𝑥 − 3) = 1
Thank you!
1 min into this and ive learned more than i ever did at school
Thank you sm for this
such a great teacher
Thank you sir😊👍
Already starting to love this stuff. I had to briefly learn about this earlier in the year for my mathematics contest. My teacher was great, but I didn't quite understand the concept of logarithms within a short 10minute period.
Thank you soo much 💕🙏🙏please do calculus with language
This helped me so much!! Thank you kindly. :)
Thank you
Question:
A store has requested a manufacturer to produce shoes and sports jackets. For materials, the manufacturer has 750 m2 of cotton textile and 1,000 m2 of polyester. Every pair of shoes (1 unit) needs 1 m2 of cotton and 2 m2 of polyester. Every jacket needs 1.5 m2 of cotton and 1 m2 of polyester. The price of the shoe is fixed at K50 and the jacket at K40. What is the number of
shoes and jackets that the manufacturer must give to the stores so that these items obtain a maximum sale?
This is by far an AMAZING asmr!
Amsome explanation 🎉
2^4 can also be seen as 1*2*2*2*2, 2^1 is 1*2, 2^0 is just 1
This is Better Than My Teacher Explaining.
this guy is the only reason why I haven't failed maths
Good job.
THANK YOU
you are the best!
Obrigado pelo video
Thanks
Are we not gonna talk about how much this guy sounds like Chris Griffin?
But seriously, thank you for this
5:32 Hey! 2^6 = 64, there is 6 in the exponent and the leading (left most) digit of 64, which is the value of 2^6! Isn't that cool?
good video Mr khan I subscribed
Sal your a god.
crying in class. relieved with Sal
This should be in schools, god knows teachers can't explain it.
Sir what is the need of logarithms if we can use the basic notation to denote a no. As a power to other
Khan Academy 10 years later teaching me more then my actual math teacher
So, how does this apply in the real world? How is this knowledge used? Can someone explain? Thanks.
thank so much you a good teacher
Grade 9 we have a question about finding what the exponent is and a couple asking the base if given the exponent and I research all this stuff about logarithms and she tells us we were just supposed to guess it... We weren't taught it so we were supposed to just trial and error, while I went and learnt how to find it using logs on a calculator... It hurts man...
Khan, you saint.
you are the best math teacher ever you make me to understand log in math Tomorow we have math exam you have guide me a lot 💚💙💜🧡❤❤🩹
How do you solve them though?? Without a calculator
Watch the video, he shows you how.
Please tell me which program do you use to do all this stuff?
Were you ever "studying for engineering" if this is the first time you've heard of logarithms? Either way you're going to learn this stuff in a class you take sometime in high school if not middle school. There's a point to this "hocus pocus" if you continue on with your education and not give up so easily.
Thanks 500,000,000,000 times!