Heck, I was born in 1962 and I didn't have an electronic calculator until I was sixteen so in my mathematical education logarithms were vital for doing calculations. Even often I got my first calculator (with a square root function!) They were not allowed in exams but you got a collection of log tables.
Years after leaving school, I have been relearning mathematics for 3D animation including physics simulations. This week, I was learning logarithm which I had long forgotten. Now I am looking for challenging logarithm problems or puzzles to solve.
This would be clearer if you plotted it in a two axis plane. In a log chart the slope represents rate of change so a constant growth is a straight line. In a linear chart a constant growth rate is parabolic.
If logarithms are exponents then why not just use the exponential equivalent equation to solve the problem? Not sure if this explains why logarithms are useful. I recommend checking RUclips video by “Tarek Said”
haven't even finished the video. just wanted to say, had I found you in my college days I wouldn't have leave Math as my major. makes me sad all the time.
I've been trying to understand what a logarithm is and why it's useful. I was lost around 2'15". To me, a statement such as "logarithms 'undo' exponential functions so that we can solve for x" is incomprehensible, because I don't know what "exponential functions" are.
Simply put, an exponential function is a function with an exponent in it. Exponents refer to the things that float above a letter or number. Think of x squared, the number ‘2’ would float above the top right corner of ‘x’ (I wish I could type it on my phone). Another way of saying x squared would be to say ‘x to the power of 2’. Now let’s swap it around. Let’s say ‘2 to the power of x’ instead. Here, 2 would have a floating ‘x’ above it, therefore ‘x’ could be referred to as the exponent. In the video, she said ‘logarithms ‘undo’ exponential functions where ‘x’ is the exponent. This is because, taking the logarithm of an exponential function essentially leaves you with an expression that equals ‘ = ‘ the exponent. So if ‘x’ was the exponent, the expression would equal ‘ = ‘ x, allowing you to solve for ‘x’. This is what she meant by ‘undoing’ and exponential function, simply figuring out what ‘x’ was if it was used as an exponent / power.
@@xavierkreiss8394 haha oh bro I’m sorry I wasn’t helpful. If you still need to learn it, keep looking through examples on RUclips. Some people are amazing teachers, who will explain it much better than I. Some other videos work better for other people. Try Eddie Woo ‘intro to logarithms’, I like his methods.
They only tell us what to learn but never say why we should learn. Teachers do not want students to ask questions. If students ask questions teachers think students are testing them so they get angry.
Oh my goodness!! I did not expect to understand what logarithms are! That was a very pleasant surprise, so thank you very much!! I’m gonna watch more of your videos; you have a new subscriber! 👏🏻👏🏻👌🏻
Excellent Video SIR Thanks 👍 Requesting to you Sir Please make a VIDEO ON Discovery of (e = 2 * 718282) By sir John Napeir in 1615 n making Of Log Table
it is a known fact that Logarithms were developed by Al Khawarzmi in the nine century and the name is derived from his name.Europeans later took the science and built on it. You are a professor. please do your due delegence.
Who do our education system dont teach us that? They just tell us stuff but they never tell us what they are used for.
agree… I hated math just because they didn’t explain why we need that… Now I learn everything again… :))
Seriously!
They do teach us when introducing the concept but I'm sure you were "busy" sleeping in that classroom.
Heck, I was born in 1962
and I didn't have an electronic calculator
until I was sixteen
so in my mathematical education
logarithms were vital for doing calculations.
Even often I got my first calculator
(with a square root function!)
They were not allowed in exams
but you got a collection of log tables.
You had that weird scale to do those calculation.
a computer science student (just watched [which was enough] the video for 30 sec :D ) : finally an understandable explanation, thanks ^^
Thanks
Years after leaving school, I have been relearning mathematics for 3D animation including physics simulations. This week, I was learning logarithm which I had long forgotten. Now I am looking for challenging logarithm problems or puzzles to solve.
This would be clearer if you plotted it in a two axis plane. In a log chart the slope represents rate of change so a constant growth is a straight line. In a linear chart a constant growth rate is parabolic.
Great Explanation ... Now i saw this video in 2020 ... Thank U very much Maam ... Im from India... Im a math teacher ...
Super Knowledge , Tq
Great examples. I love logarithms.
0:09 Ah yes, mathematicians , they usually come in domestic couples, arguing, usually starting around the years of retirement.
Wait - on further inspection, it seems like an adult son arguing with his mother. Probably about whether math is invented or discovered.
LOL, I married a mechanic. A very practical choice
That's heartwarming. :)
Explanation with folding paper method is excellent
If logarithms are exponents then why not just use the exponential equivalent equation to solve the problem? Not sure if this explains why logarithms are useful.
I recommend checking RUclips video by “Tarek Said”
haven't even finished the video. just wanted to say, had I found you in my college days I wouldn't have leave Math as my major. makes me sad all the time.
Excellent explanation...
Thank You...
I've been trying to understand what a logarithm is and why it's useful. I was lost around 2'15".
To me, a statement such as "logarithms 'undo' exponential functions so that we can solve for x" is incomprehensible, because I don't know what "exponential functions" are.
Simply put, an exponential function is a function with an exponent in it.
Exponents refer to the things that float above a letter or number. Think of x squared, the number ‘2’ would float above the top right corner of ‘x’ (I wish I could type it on my phone). Another way of saying x squared would be to say ‘x to the power of 2’.
Now let’s swap it around. Let’s say ‘2 to the power of x’ instead. Here, 2 would have a floating ‘x’ above it, therefore ‘x’ could be referred to as the exponent.
In the video, she said ‘logarithms ‘undo’ exponential functions where ‘x’ is the exponent. This is because, taking the logarithm of an exponential function essentially leaves you with an expression that equals ‘ = ‘ the exponent. So if ‘x’ was the exponent, the expression would equal ‘ = ‘ x, allowing you to solve for ‘x’. This is what she meant by ‘undoing’ and exponential function, simply figuring out what ‘x’ was if it was used as an exponent / power.
@@yourface07 Thank you for taking the trouble to respond.
I hope you won't be disappointed if I say I haven't understood a word.
@@xavierkreiss8394 haha oh bro I’m sorry I wasn’t helpful.
If you still need to learn it, keep looking through examples on RUclips. Some people are amazing teachers, who will explain it much better than I. Some other videos work better for other people.
Try Eddie Woo ‘intro to logarithms’, I like his methods.
@@xavierkreiss8394if you're still having trouble with this I'd love to try and explain it to you
@@LaughingDespair Thank you. It's very kind of you.
You can always try, but I'm not optimistic. Would you succeed where teachers failed?
You leacture is very best
Thank you madam☺
The outro is a banger tho.
if there is forward there is reverse
Concept of logarithm is given by Muhammad Musa Al-Khawazami
this video was very informative
thx
Great tut mam
Thank you
They only tell us what to learn but never say why we should learn. Teachers do not want students to ask questions. If students ask questions teachers think students are testing them so they get angry.
THE ALOGARITMS WERE INENTED BY الخوارزمي
Very helpful thank you :D
I am from Bihar 🙏🙏
Great
This was very helpful, thank you!
You're very welcome!
But you upolad this leacture in hindi please
Thanks, but I can't speak Hindi
(y) Love from Pakistan :)
so it wasnt invented and developed by Alkhwarizmy
Please
That didn’t explain anything.
Very useful video. My students say this is "epic"
Accidentally skipped a little and was greeted with "How long has the body been dead?" out of context. 😂
Thank you very much. Information is all the difference
Put this video on at least 1.5x speed
Ph scale is logarithmic
Oh my goodness!! I did not expect to understand what logarithms are! That was a very pleasant surprise, so thank you very much!! I’m gonna watch more of your videos; you have a new subscriber! 👏🏻👏🏻👌🏻
It would be good to see at least one of the problems in the video solved this way.
This is useful form students sothank you mam
So you say logarithm is the inverse of exponents. But I learnt somewhere that square root is the inverse of exponents, which is which?
Both can be true. The square root 'undoes' a square, so the square root is not the inverse of all exponents, only the square.
Great work!
Sixteenth and Seventeenth Centuries. Are you talking to five year olds?
Muhammad ibn Musa al-Khwarizmi
Nice explanation
Excellent Video SIR Thanks 👍 Requesting to you Sir Please make a VIDEO ON Discovery of (e = 2 * 718282) By sir John Napeir in 1615 n making Of Log Table
Modern day vlog book and Home of the Good Shepherd. Vlog fire for your (their) protection
Born about the same time is expressed as contemporary not earlier work..
can you give some info on logarithms and astronomy or the orbits of the planets?
Tried to watch this again.To me, this is incomprehensible.
Thank you, i love you method
Thank you for this video
Mam where you are teaching now??
I teach in Colorado
@@ProfessorCarolJM mam please can you help me a little bit please
@@neetaispirent473 Maybe, with what?
@@ProfessorCarolJM i think you are a proffesor ....
Mam I'm from India
awesome
it is a known fact that Logarithms were developed by Al Khawarzmi in the nine century and the name is derived from his name.Europeans later took the science and built on it. You are a professor. please do your due delegence.
I believe this person invented Algebra and not logarithms.