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- เผยแพร่เมื่อ 28 ก.ย. 2024
- View full lesson: ed.ted.com/less...
What are logarithms and why are they useful? Get the basics on these critical mathematical functions -- and discover why smart use of logarithms can determine whether your eyes turn red at the swimming pool this summer.
Lesson by Steve Kelly, animation by TED-Ed.
An episode a day keeps the bad grades away
So true
nevermind....got it
10^(-7.400116928) = 0.0000000398
ture
True that!
He sounds like the teacher that discusses enthusiastically but then gives a quiz right after the lesson. It made me nervous watching this.
yeaaaas felt the same way
the sound of betrayal
I had exactly that in mind :D
Same lmfao
FRRRR
Thank you TED-Ed... My teachers at school never explained what log actually meant... they just started with its application in differentiation...
Thank you So much!! I wish teachers would start explaining the same way!
This is nonsense, and it’s extremely dangerous. No decent eye doctor would ever recommend using logarithms after swimming. This video needs fo be removed, immediately, before it causes someone to go blind. I’m reporting it to the TH-cam police. I hope the people who posted this BS have fun in prison. Say hi to Bubba for me, ya jerks. Don’t drop your soap.
That would require teachers to understand logs.
Please see my separate comment above - about what logs actually mean.
Same lol
My teachers never explained
But during my uni interview i was asked this ques…..
@@spacegeek6166how can ou don’t know what log is?
Great idea! Do you have a recommendation on someone who could create the lesson? Feel free to nominate someone on the TED-Ed website (ed.ted.com) under the "Get Involved" section. Thanks!
5 years and noone replied or liked this comment
10,000 subscribers without any videos yea
@TEDEd, I just wanted to say that for the "pH" example @2:30, since it is a "small value", that one could enter the equivalent in negative scientific/engineering notation.
So -log(3.98x10^-9 = 8.4.... and -log(3.98x10^-8 = 7.4.... Ty for the video! ^_^
11 years have passed
..llLOOOGgarithm!
+Lyle Faraday More like LOAG arithms.
L-aaawww- g-rithm
Lyle Faraday 😙👽👀♥*)👃👣👣💀💙❤👃👾👂
Dude had me literally ROFL with the llLLLoooogarithm
Tbh I watched this because my teacher told me to skip a logarithm question on a practice sheet because we "don't know the material" so I'm tryna stay ahead of the game here
Good on you!
so did you pass
👌👌
Nowadays, Kevin is an unstoppable machine of knowledge, motivated only by his desire of staying ahead of everyone. This is what mathematics do to you.
I swear I hate those kinds of mediocre teachers
Man this has to be the best and simple explanation of Logarithms which can be easily understood by even a primary school kid and PhD student!!!😃
I wish I had Ted Ed when I was in school. Makes learning so much more fun.
did he say log can be used as eye drops
Instructions unclear. Tree stuck in eye.
Its a metaphor by the way indian guy
Mohd Jawad hes kiddin dude.
Siddharth Singh i don't think so he's indian and watching there is high probability he is damn serious
he mean probably the hydrogen ion concentration or the pH that cause the eye redness..can be treated by using eye drops made by using the same technique in order to lower the pH of your eye that caused the redness. he probably means the concentration needed are so small that scientist use logarithm etc. to calculate the required concentration etc.
Love the comic touch and vivid examples of real world uses. Logarithms have been called Napier's Rapier, since he invented them back in Elizabethan times to cut through difficult calculations precisely and quickly. This video makes you a true exponent of Napier.
So basicaly a square root, but you're finding the power instead of the base
lol yeah
This was the most wholesome ted ed video i'ven ever seen , and i have seen quite a lot of them.
At last, I got it! Thanks for the education.
Man, you are a legend. I read a book, listened to teachers and stuff, but this 3:33 long video explained what hours of learning couldn't. You are a LEGEND!
I will still never remember logs
i had a test about them last week
Emilio Couchee soooooooooooo true
Emilio Couchee
Why? Cause random hunks of wood are boring?
Base raise to what power equal number.
REMEMBER Logs are bits of wood that are chopped from trees.
Laaawwwgarithms.
Good Explanation.. My teachers did not teach these basics and would just ask us to reference the Log Tables (calculators where not available).. Honestly, I am still confused a bit.. If additional examples could be included with actual calculations, it would be helpful. (specially, Log base 3). Is there similar examples for Calculus.. I know that these are important, but my basics is bad in these..
There’s a teacher known as “Eddie woo” on TH-cam, they have a video explaining logarithms
Here’s the link: th-cam.com/video/ntBWrcbAhaY/w-d-xo.html
This is 11 years old video but still the animations and quality are up to date hats off
This was a very helpful video. Anyone who didn't understand it, was not actually watching it, just playing on their phone or some other activity.
+Emanuel Balmus Or they didn't understand it because they were just lazy and/or refuse to learn the concept of logarithm instead of just looking for "how do I do it?" or "But there were no examples" or etc :) Trust me, I teach.
I agree
Sometimes i ask myself: Why do we go to School? I mean watching a two minutes Videos about a Topic is way more effective than sitting in class and listening ti the boring teacher....
long live Lemmy maybe if you paid attention to your teacher you wouldn't think that
long live Lemmy the teacher isn't boring the teacher has to teach 20 students. If you think you can do that everyday and make it interesting then be my guest. This also isn't for anyone .
@@zeroej You have my respect
long live Lemmy Yeah. Me too
Because al though this may teach the general idea of the lesson, it is when you are in class and put it into work in practice problems that you solidify the understanding of the lesson. Not only thru practice but also explaining it to your peers/classmates who may have learned a different way. Its like a gym for your brain!
The inflection of this man's voice makes this video all the more entertaining
Thanks ... I was using the calculator to do my maths hw and then I had the strangest urge to know about the log button
never had LOG before at school?
MegaMGstudios kids are everywhere dude
- Timmy, what number is under cup now?
- 10?
- no, it is an orange.
(laughter and applause from audience)
This 3 min video explained better what exactly log is about than my school.
Thanks for subtitling with Myanmar.🇲🇲
It's rare on TH-cam.
Same here! I knew the formula, but somehow before this video I didnt really realize what it really means and why someone would use it.
But by this video, I know it just shows how much you have to multiply a certain number (=the base) by itself, to get a particular other number!
I have loved math my whole life and my teacher who covered Log's did a poor job so I never understood the fundamental of it.
NOW I GET IT. It's pretty simple actually
thank you !!!
Back in college I took a microeconomics course which was taught in an auditorium that held 250 people. At about the third lecture it was apparent that the professor was teaching to a dozen or so students that had some familiarity with the topic, the other 200+ students of which I was one, were lost and left behind. I stuck with it and learned enough from the text to manage a C grade from taking the 12 exams. At semesters end, the number of students had dropped to less than 50 or so. When I took macroeconomics I had an outstanding professor who not only taught macro well but got those of us who didn't 'get' an understanding of micro caught up to speed at the same time. She was a super educator and I was glad to have taken her class.
American public high schools are preparation for failure. That dozen in class are from college prep schools, foreign students or the exceptional onces from American public high schools which would be walk in the park review for them. I knew foreign freshman students already had differential and Integral calculus and first college year physics. We are so screwed!
Oh man! The way this educator explain his lesson with his unique way of talking... Recommended educator
2024 anyone?
Yeah
Bro the comment are so old. It made me feel so young
@@umasrivastava2107fr
I am from 2024
Bro me
finally some practical use of log , my god it felt good understanding log again
This provides a clarification. Thank you!
the last bit was actually so good, especially the eye drop joke
Brilliant lesson and a great explanation on the topic. You've been able to simplify the logarithm topic very easily and the student will be able to understand it way better from you.
1:34 don't listen to him. You can do logarithm to any base using the change of base formula. For example to compute log base 2 of 64 you can type in log(64)/log(2) and that gives us the correct answer of 6. Remember, log to the base 'b' of a number 'n' is equal to log(n)/log(b)
Loving the energy and enthusiasm!!!
The STAR math test kept asking me about logs (in 8th grade!) and I had no idea what it was talking about. Now I can at least get most of them right. :)
Don't care
The most important use of logarithms was first to help in calculations: log(a+b) = log(a) x log(b)
It means that with a little book, a list of logarithms of numbers, you can multiply them just by adding their logarithms, whereas multiplying by hands is long and hard.
That's why logarithms were a revolution in science because they were "invented" or "discovered" at a time when there was no calculator.
(Sorry for the long text, but it seems important to me)
That is a misconception. It is actually log(a) + log(b) = log(a x b), not the other way around.
Yes, sorry ! You are right
so by using log(a)+log(b)=log(a+b) im guessing people programmed logarithms via a recursive function (c++)?
Bro youve done mistake actually it was log( a×b)= log a + log b
What about log(abc) or log(a_1×a_2×a_3×...a_n)???
I had difficulties understanding logarithms in school, now years later this one three minute video explained what they actually are. Turns out that my teacher never actually explained what logarithms are, only how to use them, so it never felt intuitive.
Very simple and awesome explanation!
Thank you for explaining in under 5 minutes what all my university professors have failed to actually tell me in nearly 6 years. This was all I've wanted, and I'm going to put it on my wall so that I don't have to keep scouring the internet every time I do a lab report.
Really quick version: A natural log is a log where the base is the number "e." e (intentionally not capitalized) is a number similar to pi in that it doesn't split up well, but it has some interesting properties. For more info the wikipedia pages do a good introduction to both e and natural log.
Thanks for extra info
This is not the video you want playing when you're mouse suddenly stops working.
Edward Morris Did your autocorrect also stop working?
No, it just means this video is so goddamn irritating I made a spelling mistake. Obviously. Jeez you asked a stupid question. Go away.
Edward Morris TRIGGERED
Super helpful video. I never had anyone really explain what a log is, so thanks very much! On a side note, this guy should be a game show announcer.
Excellent explanation, as always very helpful! :)
3:05 that's exactly how I remembered it! It's a super cool trick and have helped me a lot!
Even my teachers couldn't have explained such a beautiful way ... thanks
I was holding a cup of milk in one hand and a croissant in the other when the narrator said, "c'mon, use your fingers" (1:54). I started counting with him and dropped my croissant first, then I dropped my cup of milk and it broke and got all over the place.
Logarithms seemed like such a complex thing to me when I didn't understand them.
Now I'm just like "WTF. WAS IT THIS SIMPLE ALL ALONG!??!"
"What must 10 have in potency in order to equal the number to the right of it?"
Question regarding logarithms…it appears by bringing down the exponents we might be losing some information…
Such as with the formula x^2+y^2=1 …
Then
X^2=1-y^2
(-1)(x^2)=(y+1)(y-1)
Then
X^4=(y+1)(y+1)(y-1)(y-1)
X^4=(y^2-1)^2
Ln(x^4)=Ln [(y^2-1)^2]
Then
4 ln (x) = 2 ln (y^2-1)
And
Ln(x)=1/2 ln (y^2-1)
e^ln(x)=e^(ln(y^2-1)^1/2)
And
X=(y^2-1)^1/2
But from the initial formula
X=(1-y^2)^1/2
So we must have changed the domain for which the function was defined at some point correct? Because up until we drag the exponents down in front of the logarithm. The graph still generates a circle along with the hyperbola portion as well.
The ending product just leave the hyperbola portion.
And the starting equation just had the parabolic portion.
Log portion had both…
Llooooooooooooooooooooooooogarithms
More like "longarithms"
Everyone: logarithm
TED-Ed: looowgarithm
This was amazingly explained
This video made me cry. Sensational!
"Zero Zero Zero Zero Zero.." HAHA! Sounds funnny when he does that!
Wow 8 years ago
if you want to find the answer for instance a problem where for example
2^x = 8 we know from the video it that x = 3 but to take the to working it out you can't access the x any other way than using logs
so if we do log2 both sides of this formula it looks like this
log2(2^x) = log2(8) then we can take the x out because of some of the rules of logs
x*log2(2) = log2(8) then divide by log2(2) and we have x=log2(8)/log2(8) which is x = 3/1
so you can work out some physics formulas using logs
Started algorithms for CS class and they briefly went over logs and I was so confused since I never used them in hs. Great fix right here
I really liked this. I got an A in my college Logarithms class in college but I don't remember a thing but this brought it "all" back (partly). With math, like languages, if you don't use it you loose it. A smart young person should really study math diligently, write perfect English and learn either German, Mandarin, French. Latin or Ancient Greek. The last two are like certificates of intelligence because no stupidos have Latin or Ancient Greek.
If you dont use it you loose it --> So go study a dead language.
You must see the irony in that :)
db112nl "Dead languages" survive very well in Academia and among enthusiast. Hebrew was a dead language for 2000 years until the creation of the State of Israel. The term "dead language" is deceptive as it does not mean dead but not currently spoken. My university math professor told me he would rather have brilliant students of Latin and Ancient Greek with little or no mathematics to start the year because he knew that with such students he could make great mathematicians. To test yourself try reading a language you do not know with a good dictionary - not very difficult - and then try reading Cicero or Virgil or Homer with a dictionary and see how far you get. There is value in "dead stuff." Ironic - huh!
I feel that someone who talks about what "a smart young person should know" should really know the difference between "loose" and "lose".
now it makes sense after so many years. thx.
0:47 b=base, p=power, n=number
When you’re failing add maths and have to resort to Ted education
I'm about to start on a calculus course, but this was never explained very well to me. This helped alot. Thanks!
thanks steve! a great explanation of logs.THE BASE RAISED TO WHAT POWER EQUALS THE NUMBER
I am watching this video after 11 years but it helped me in my physics. So thanks.
lol zerow, zerow, zerow,
zerow!!
THREE NINE EIGHT
When the lecturer speaks at 1.50 speed so you don't have to adjust the video playback multiplier. MVP
I never knew logarithms were useful to handle extremely small/large numbers... Thanks for the explanation!
I'd like to see more of these from this guy but sometimes he speaks too quickly I think.
Quality>quantity
see we need this in schools... not some uncaring drones called "TEACHERS"
Prashant Pathania edgy
fellow confederate says the traitor
I visualize it like so: the b scuba dives under the n and the equal mark and then surfaces under the p, pushing it into the upper index. Thus you get n=b^p
I fucking love this channel. If everyone subscribed to RWJ subscribed to this channel and watched the videos I think the world would be a better place.
"The log key on your calculator only does log_10."
log_b(p) = ln(p) / ln(b)
Thankyou, sir. My eyes were feeling very itchy, but now I can use logarithm to fix them.
Great animation ❤️😊
Log of a number "a" to the base "b" is basically the power "p" to which the number "b" must be raised so as to get the number "a".
I usually love Ted and Ted-Ed but this video was more confusing than helping
I second this
Agreed. I actually understand logs and found the video to be unnecessarily complex for curious beginners
For me it was really helpful and explainatory
fantastically simple explanation thank you
Lmfao at 1:09..."What is the value of Log base tena TEN THOUSAND!?!" take it easy buddy, your slurring your math.
Dante Falls You have failed the grammar check. Please hand over your kneecaps.
Wish I had a teacher like him
I've been studying log since years. But trust me, I understood the true meaning of it today!
LWAgarithm
Given the context and wording of his question, it is reasonable to assume that he perhaps senses some connection between them, presumably based on the "-rithms" ending. This is plausible given he doesn't even know what algorithms are.
Therefore it is perfectly reasonable to confirm in a short sentence their disconnection.
Very simple easy to understand explanation.
.0000000398.
Wow.
Thanks for the explanation. I always wondered whats log , this helped me.
3 minutes ted>3 weel high school lessson
This video was exactly what i was looking for! Tysm
This guy's voice is so annoying on so many levels.
I could do without the Dora the Explorer-type vocal expressions and dopey cartoons, but the explanation made perfect sense. Thank you.
Bruh. I was literally panicking seeing this log thing in my textbook for the first time in my life that too 2-3 hours before my exams. Glad you explained this simple thing I panicked ober. 😊
This was really helpful for a beginner, liked!
1:40 You can do another base!
Example: log_2(π)= log(π)/log(2) or ln(π)/ln(2)* = 1.651496129
log_17(262,144) = log(262,144)/log(17) or ln(262,144)/ln(2) = 4.403709758
Whatever my eyes are ❤ dizzy now 😂😂😂😂
The way he said zero made me think it was an ai in the beginning
And the "cause my eyes to get red after swimming" caught me way off guard
Thanks for the informational video. I finally understand logarithms now!
Fumble fingers.....At 50 and then some I needed a primer on logs for a project that involved power decibels. Your vid worked.
Ima remember this as BannaNa Pen, BPN, Base Power Number, base raised to the power equals the number
Another use is again in chemistry, specifically electrolysis. It is used the Nernst equation.
i used to be good at these when i was at school some 50 years ago,i seem to remember having two books with numbers in ,having to find the log in one of them ,then try to find the coresponding number in the other book
Im a student and I can easily say that this video CANNOT get any bettet than this....while there are videos with 16-20 min and does not make us understand one bit, this does in 3 min....a succes according to me...im satisfied 😉😉😉
Very smooth. Thank you for all your time and efforts 😃