Introduction to logarithm properties (part 2) | Logarithms | Algebra II | Khan Academy
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- čas přidán 25. 06. 2024
- Second part of the introduction to logarithm properties.
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A decade later and I still rely on you. Thank you for everything Sal.
Two decades later and in stil relying on him as wel
how old are you
“The point of Math isn’t just to pass the next exam, the point of math is to understand Math and apply it to life later on and to not relearn everything every time”
This is on-point. Thank you Sal!
only i could never think of a scenario in my day-to-day life where i need this.
@@JoeJohnson-mk4qd because you dont yet understand]
me, feeling especially called out for relearning logs
"the point of math is to understand math"
thank you Sal! :)
Vishal Menon don't know if you're being sarcastic with Sal's saying or it is just the actually exact and obvious concept of maths 😂
I'll explain how he got to convert log base 2 (32) and log base 2 (8). long base 2 (32) is 2 to the X equals 32. 32 can be divided into 8 times 4. Each of these can be factored into 2 to the 3rd and 2 to the second respectively. That will make log base 2 (32) equal to 5. then you multiply 5 with the coefficient 1/2 to get 5/2. Similarly, log base 2 (8) is equal to 3, then multiply it with 1/4 to get 3/4. You add 1/2 to 3/4 and you get 7/4.
+moreshige 2 raised to 3 is 8
God bless you
Thank you !!
where did he get that 1/4 from?
@@sarayasara5830 in the video he had 1/2 out of the parentheses and he had a 1/2 inside the parentheses. 1/2 x 1/2 = 1/4
I felt like he gave up explaining at the end...
I guess he thought it was pretty obvious.
I think he didn't want to cross the 10 minute mark.
I just love a teacher who thinks out loud like you! A lot of teachers don't do that because they dont' want to feel stupid in front of their students. They don't realize that they can gain their students' confidence in them that way, plus it is a good humor when you are thinking out loud and end up on something funny.
the 240p strikes again
retro khan academy, dayuuummmmmmmmmm!
You're correct. This is because computers use a binary number system (versus decimal) so if you have 8 digits, you can represent 256 numbers; if you have 9 digits, then 512 and if you have 10, then 1024
ok
that went from easy to hard in 7 minutes and 10 seconds :/
True.
To do log with a different base on a graphing calculator hit the math button then scroll down till you see logBASE( to give the log a different base
Mary Beth Knebel I think these were older calculators because the video is like 10 years old
But knowing the property is important to understanding so you can manipulate expressions and equations.
You could divide imagine if you have log base 2 (16) divide log (16) by log (2) and you get 4
Logs are new to me but your videos have really really helped me understand. Ur better than the teachers!!
Thanks a lot mate
keep it up
he does have a very warm voice... it draws you in.
I think I just learned 3 hours of math in 5 minutes. The book is so confusing with the definitions they give. Thank you so much.
I've had some great math teachers in my life, but none of them have made learning as intuitive as you. Thanks so much, I needed to review logarithms for calculus and this made it simple.
Sal seems much more witty in the early days! Wish he could still be like that...
oh man, it's 1am the morning of my exam. your video mixed with lots of coffee has helped me learn my entire unit in 2 hours! thanks!
Going to college 11 years too late and your math videos are coming in clutch to catch me up on everything I've forgotten.
What major do you study at a later age?
One of my classes is having me use logs and derivatives, which I haven't seen in almost 3 years. You're a lifesaver with these videos. I feel like my degree should say "The University of Khan Academy and Chegg"!
Fantastic. This is so helpful for people having to learn math from a book with minimal worked examples.
after years, man im still here relying on you, thanks sal & khan academy! :D
Thanks a bunch for these tutorials, they were the best I could find. And since I missed my theory lessons of logarithms, this was very useful! I now begin to understand it better. Cheers!
ahhhh these videos are SUCH A GREAT HELP! thank you!
thanks man!!!! you are amazing!!!! i understand you much better then my math teacher ( shes kinda, idk, she cant explain shit ) and my native language isn't english!!!!! damn, im so happy!!!
Wow. CZcams + Education? Who knew. I might make this one of my first stops for homework help in the future!
Umm, I don't know how to tell you this. You probably already know, I mean, you might be dead. This is our school now. It's not just homework
Thank you so much for making these kind of videos their really helpful!
Man, your videos are AWESOME!!! Thanks a lot!
Thanks. I pretty much feel like I can tackle any log question now.
Great video and the example at the end was superb to drive home the learning points!!
"the purpose of math isn't just to pass your next test, but to understand math" No, passing my test is the only reason I'm learning this. I missed the entire unit of Logarithms because I was sick, and here I am 2 months after that unit, trying to learn what I missed so I can take the bloody test that the rest of my class took 2 months ago, so I don't fail.
You're learning logs for the sake of learning them at the moment, when you reach higher math, you will need to have a good understanding of these fundamental properties to progress.
Same
God bless Khan academy for making studies very simple
I often find myself sitting in class watching what's being written on the board and think " when will i ever need this?!"
after watching 2 of your videos i can actually see myself using logarithms in a real life situation and not just on a test to get a grade for school :D
thanks man ;)
I was sick for 2 weeks so this really helps me catch up. Thank you for your videos! I wish I could say that I would be using this later on in my life but idk how far math will apply in art college lol
Finally i will have something to understand in my tuition today.
Thank you so much!❤
@NickGf Teachers who do that should not be teachers at all in my eyes, especially with math. Math can be a mostly visual learning process to understand new concepts. And THAT'S why Khan is where it's at!
I really liked the "don't feel bad if it's not obvious"
great videos... thanks a lot
THIS IS SO GOOD, I CAN UNDERSTAND EVERYTHING
😃
change of base formula is log of 357 over log of 17. I don't know how to do it without a calculator but i hope that helps.
great video
you are a genius. thanks for the help
thank you!
Thank you! God bless you! :))
You are THE BEST! We're having a test this week, and this video is going to save my future. Well, not that I'm over reacting :D THANK YOU!
13 years later, how did your test go? :D
Thank you so much for everything
Over a decade nd a half and still saving millions...
i have another question: what if i want to solve log (base 17) 357 without using a calculator? How do i change the base?
Thanks!
this is a good memory refresher :D
i love you khan academyyyyy this issssssss greattttttt thnx for all the helpsssssss this is reall helppppppppp
@khanacademy if you could perhaps make a computer science playlist sometime in the future, that would be awesome. also, i wonder where the proofs videos are that you referred to in this video. thank you so much. this site is awesome.
after getting 9 in the first problem, I got lost with the process of getting the final answer, 512, why did we do 2 ^9?
2X2X2X2X2X2X2X2X2 your basically just multiplying 2, 9 times and your going to get 512
Alicia C exactly
Thank u so much....:).
i have three bases on my calculator. The two you mentioned in the video and I also have an option to pick which base I like.
Sal is like literally the smartest guy on the entire fricken' planet!
I LOVE YOU!!
"fascinating"
It would be awesome if you could post some videos on Quantitative Methods part of CFA Level I Exam...
@shallbeknown its algebra 2. also part of pre calculus.
you can put it in exponantail form
Haha! I love the confidence inference:D this made learning fun. I skipped a week of school and thank heavens for khan academy(:
I skipped 2.... and now i might fail the tests.....
This guy has a really good voice for explaining things. //
u go bada bada bam! xD
btw best teacher ever :D
oof that high quality 1080 p video is great
4K in 3D. Majestic
thanks champ
Years later in the work force, i ended up needing to relearn this. I should of listened.
what mic do u use and what screen recorder
this is really useful! why cant all teachers teach like this??
Almost 5 million subscribers. :O
Cool
I was not a fan of government-funded cloning programs . . . until Khan showed up. *cue Imperial Theme*
6:34, alternatively you could divide 357 by 17 and get 21 which is the answer since 17^21= 357
@@9-volt247 im still quite young so i havent really covered logarithms in school or done "e" and imaginary numbers so i definitely could be making mistakes but are you sure that isnt just a complicated way of writing it?
Why did he randomly jump to 2^9 with no explanation?
(2^3)^3 is equal to 2^3*3 which is 2^9
this is one of the exponent laws
where (x^y)^z=x^yz
@@Chart_ yep
@khanacademy hi Sal, I was wondering how you have occasion to use logarithms in your job (I presume your hedge fund job). I've allocated capital in stocks & options, and I've not seen use of logarithms before. thanks.
If I pass my IB math this year, it is certainly not due to my math teacher, but to these video's :)
Get the casio fx-991es it does literally everything
Thanks for posting this! I would have failed Math 130, were it not for this video!
If anyone knows, please tell me which video that introduces the number e!
I wish i had realized that years ago. But its not too late to apply and try to understand it i guess. Being a info systems major, I think im required to understand it lol
I wish I could write brughbugghagahh as the answer
love you sal
yo thanks
Why some letters capitalized like A and B but not c?
I cant take it anymore. You are actually quite effective in communicating the material. however, YOU DIGRESS (A LOT) FROM THE POINT/SUBJECT so much that it is kind of confusing. Also to add to the confusion is the "machine" you are using. However, thanks for the free material it did help a lot!
My head literally hurts rn
same
buddayyy
Not really
I love you.
i cried after this video
where in South Africa are you from?
@goldensilverstar Can't tell, but I have to use it to calculate frequency table in my classes of probability at the university. I'm studying Computer Science, and I forgot some principles...cough! ... to be blunt, I forgot everything about logarithms. There's some rumors I'll use it also in circuit classes. This I'll see, soon.
i got it
Aw man I use to think Logs were easy...now I see why people hate them.
Where's the video that explains more formally the multiplication of logarithms? He says it right at about 3:55. where's that video?
Riki angel
"you have to switch to your yellow color, to act with confidence".. lol
Wow. Ok // I want to study computer science too. Software Engineering.
Thanks for your explaination sir ..
You explained in a very beautiful & understanding manner
@4:15.... Lol I do that all the time, I will say what I'm going to write, and then just sit there stroking the pencil in mid-air... I hate when I do that..... Lol He does it twice at 8:27 too!
Actually you can do (math) (alpha) and that gives you log_ ( ) but this only works on ti 84s
i have log base B to the power of A (log B^A) button in my calculator :D
Why did he make the exponent into a fraction in the last logarithmic equation?
i can't wait to see how you teach me the quotient rule... holy shit.
hi can anyone help me with this question, how do i solve log (base 10) 5 w/o using a cal.
I'm not sure, sorry.