Logarithmic scale | Logarithms | Algebra II | Khan Academy
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- Опубликовано: 19 сен 2024
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Understanding how logarithmic scale is different from linear scale and why it could be useful
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WOW.... I've never visually understood Logarithms until now. I was only taught to solve them.
This man is a genius, when I did this at A level and university.. I didn’t understand it at all... and after only 5 minutes of viewing this video I understand Log, you sir are a genius!!
THANK YOU,
London, UK
As a practicing Electrical Engineer a lot of the plots found in transistor datasheets and stuff often feature log linear, linear log, and log log plots for things like SOA and transistor curves. This video gave me some new insights for logarithmic scales I didn't know before (or more likely forgot)! thanks
Sal Khan. The Best Math Instructor. Ever. For FREE. amazing
Evey Kaye disagree. too long, too much extra garbage, too much stuttering and repeating himself
false
@@TBoy205 Try to make better videos then.
Oh right, you won't do that.
This is a great video to recommend for students if they're struggling with logarithmic scales. It covers basically everything in 11 minutes.
Great video. I could never understand logarithmic scales until today.
You are a life saver. I am in the middle of an Engineering degree and you are helping me get through it. I watch your videos all the time. Thank you!
To all those who make tutorials with notepad on youtube, learn from this hero!
Such a satisfactory and satisfying explanation!
Thanks man, this is the best explanation I've ever heard
i think this would help my whole maths class understand logs better.
wish I could give 10000 likes 👍
Jit Das make 10k accounts
Tippy Kaffu top ten smartest people in the world
@Rardon99 that is a good question. It would in theory be an infinite amount to the left of your paper. But of course that doesn't exist ... no zero or negative numbers on log scale :)
Ran into some problems about plotting with logarithmic scale, thanks for the great explanation on the basics. 🙏
@kenufak 10^1/2 is just root 10...which is not futher reducible
10^x = 2, take the log of both sides
log 10^x = log 2
using log rule simplify the x down
x log10 = log2
x = log2 / log10
I'm in pharmacy school and NOW is when i understand after this video
Do you have more videos about logarithms?
thank you, helped a lot
That’s an interesting speech characteristic
I like to understand that only.. can you suggest me some RUclips videos on this topic sir?
Where was Khan Academy while I was in High School?
great explanation buddy! thanks, it helped a lot.
Thanks, just went from confusion to crushing my quiz in 3 min flat.
@ch00bz0rzzz A log scale is a linear scale using the log values of the numbers rather than their actual values, im not sure if you could have an exponential scale.
I understood log and how they worked because we learned them in algebra 2 but in chemistry we were given a graph that was logarithmic and had to put it into a linear equation because we learned about beer's law and this helped me how to make a graph using logarithmic scale.
Thank you much highly appreciated
Could you please give me the answer for this :
What is a plot with logarithmic scales on both axes called ?
Please. Thank you so much in advance.
A log-log plot. Hope I'm not too late.
this is the best explanation of a logarithmic scale i've ever seen
Great! I just wish the other type of log scale was also on Khan Academy. (Where the gridlines are NOT adjusted, as they really should have been in this video).
Thanks a lot.. that really helped.
Very helpful ❤
Even on the linear line we are still starting on 1,the only difference is that we are multiplying by zero and we end with an origin 1, that's right, right?
So even on the log scale our origin remains the same, but using 1 simplifies the imagery.
I might be wrong.
WOOOOOOOO I PASSED MY MATHS EXAM TODAY, THANK YOU :)
That was amazingly simple for something so complex
I found this very helpful
Thank you
Wow, thanks a ton!
Hi
how does the author of this video write so neatly through digital pad? i want to know more about the technology for producing such amazing quality digital handwriting. i'm interested to see if i can use it when i take notes in class. thanks!
stylus or digital pen and/or graphics/drawing pad
You just totally saved me. Thank you so much! Can you show me how to go from linear graph to log or ln graph? Specifically, how do I get the graph of a (linear y/ln x) scale from any function?
y=b*a^x => log(y)=log(a)*x+log(b)
Thank you for the wonderful lecture. It is very helpful.
Superb video. Thank you so much, genuinely. Xx
Really nice explanation, thanks
another wonderfully simple and useful video.
Can that scale also be called an exponential scale or would such a scale be different?
Very good video
Perfect explanation!
good
amazing! Thanks a lot!
really helpful, thanks a lot!!
Thank you :)
@m8tate No, it's 1.258925 times as powerful. That's the tenth root of 10.
Thank you!
or you could do, from log(10^x)=log(2)
log10(10^x)=x
x=log(2).
If one whole number on the Richter Scale is 10x as powerful as the number below it, is 0.1 number 1x as powerful as the one below it?
So what is the difference between exponential increase and logarithmic increase?
What's the difference between Logarithms and ln(natural logarithm)? i'd like some explanation like this
natural logarithm (ln) has a base e, while the bases of other logarithms could be everything. The standard base is 10.
This is a great help thanks!
I have a question, what happens if I want to plot negative numbers?
+teema ciba It is the same idea, just adding '-'; the detail is, you can't plot positive and negative numbers.
thanks!
Thanks a lot Sal♥️♥️♥️
Always saving my life.
Yes! Thank for you this!
thank youuuuuuuu!! ❤
2:19
4:44 왜 이것이 쓸모있는지
6:04
8:39
So the numbers on the x-axis are just all powers of the base of the logarithm (in this case 10)?
and how solve 10^1/2 without calculator? or 10^x=2 without calculator?
coulda been really useful a year ago :3
@Rardon99 it doesn't exist on that line
KHHHAAAAAANNNNNN
Thanks :)
how would u plot 0 on that line ?
@edwardmeade It's called a slid rule
ThePhlogeProject slide*
All I can say is... Thank you!
wow
how do i superlike this video?
it will never be 0 because you cannot divide 1 by any number to get zero.
solve 1/x=0 for x doesnt work, therefore the logarithm will never be zero.
"I could label any number on here" - O RLY? I challenge you to label i :P
i isn't a number.
Checkmate
wonderful explanation
The second half of this video is confusing. When do you use a logarithmic scale? When people talk about putting something on a logarithmic scale and how it changes data into a more neater form what do they mean? ie why would you choose to use a log scale to present data. Some real world examples would help, this is a rather abstruse presentation
JBH27 decibels, ph scale, earthquake, etc
I think you put 1 on the number scale because if you put 0 you would have got 1 whenever you raised a number to any power.
I was sent here to watch them label the y axis grid lines on a RSAM vs time graph for geology. I’m lost
x^0 = 1
❤️
SECOND BABY!
Video starts at 02:15
Your welcome
Oh my god thank you, this video explains it way better than my stupid math teacher...
+Epictemptation7 Perhaps that because your maths teacher is busy attending to students with attitudes, like the one your expressing here.
@@tomrose4560 yes, i agreed with you statement👍
Sounds like @djvlad🤔🤔😂😂teaching math.
i dont even understand what your talking about, but i love your voice.
Robert Schneider brought me here! also where would 0 be?
A^X no x value can give you a result of 10, you can only get really tiny numbers going to the left so 0 is infinitely off to the left, unreachable.
thanks!
☺
Great, but this is not the one im looking for :(
Thanks
MUCHA
Those who have disliked , definitely failed in getting it.
😁
No I did not understand why it might be useful. the only argument made is that it can fit in more numbers in a smaller graph. Not a very good argument in my opinion. Would have appreciated an example.
Was really helpful, thank you :)