What is a logarithm

Introduction to logarithms

In this video, I motivate the definition of the logarithm, followed by some examples, and finally I give 1-2 applications of the concept. Enjoy!

[frozenmoon]

I love how you go from bachelor's level maths to easy high school algebra, and it is all still beautiful.

[CliffStamp]

I wish more people would introduce log's as you did where you explain essentially the question that the log function is asking, as that general approach gives an insight about functions (sqrt x asks what number times itself is x, and so on).

Most textbooks and teachers often teach ways to memorize the transformations from exponential to log functions, which kids can memorize but then if you ask them what is log (base 10) of 100 they can't tell you directly it is 2 because they don't understand what logs are actually doing
.

[lenamaral]

Anyone who consistently watches your videos is generally beyond this concept. 😁

[sushruttadwalkar]

I was genuinely wondering today afternoon "what IS a logarithm" and BOOM a Dr.Peyam vid about exactly that...i'm blessed.

[dougr.]

It is amazing how something so basic can still use a refresh!

[Alians]

Line integrals to Partial Derivatives to logarithms.

[xpbatmanqx]

The intro earned you an instant like :)

[blackpenredpen]

Tomorrow: what's log of a matrix?

[benjaminoyarzun]

"Lets get into the rithm with some logarithms"

[garyhuntress]

I tutor high school students and I've never had a good intuitive example of logarithms to show them. I do now!

[thedoublehelix]

You should've talked more about applications of logs. That's the coolest part imo. Like how are vision is logarithmic. Other than that, great video! I like the intuitive def better than the usual number shuffling

[WerIstWieJesus]

I just was searching for log2(integer) in Delphi, to find trailing zeros in a binary number. But I didn't find a builtin function and had to implement it in assembler with BSR. I am still missing builting function for Android und iOS. This is another application of your lecture about log2.

[rubinayesmin]

log -27 base of -3 is possible, right?as -3^3=-27.

[Oskar-ztdc]

instet saying log base 2 you can use lb (binary log)

[LarryRiedel]

For me personally, it's confusing to say that in y = 2^x, x is the exponent and x is the log or logarithm. To me log() is a function or operator, like exp() (or pow()). To me, in y = 2^x, x is the simply the output or result of the function/operator log₂(y), I wouldn't say x IS the log or logarithm.

[alwysrite]

loga rhythm --- are you a mathematical rapper? ; )

[tgx]

I remember the good old days, when I was a "bit" small child. Any corona virus....

[nanigopalsaha]

A maths trick that evolved into a function.