Logarithms: with and without a calculator

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How to figure out logarithms to any base, whether you have a calculator or not.

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Thank you. Now, how would you calculate the natural log of 3 without a calculator? :)

serifini

I want to know how you would do log 5 without a calculator and without knowing the value of any other logarithms. No one ever explains this!!! I can't find it anywhere!!!

guihermeborracha

Thank you ! you took a bug out of my mind since at school they explained logarithms but it wasn't clear where the calculation of the mantissa came from!! it seemed like a secret, you took the values from the log tables and that was it!

robertocortesi

Grazie ! mi avete tolto un tarlo dalla mente da quando a scuola spiegavano i logaritmi ma non si capiva dove veniva fuori il calcolo della mantissa !!
sembrava un segreto , si prendevano i valori dalle tavole log e basta !

robertocortesi

Curious why a comma is used instead of a decimal point? Seems like it might be confusing if you are writing a decimal number or separating a set of numbers with commas.

poorman-trending

Thanks for such for such a clear explanation!

emmagao

HI sir, thanks for discussing this conceptual part of the log function... I have a qn at
5:28
Can we also write
loga(b) = log(b) / log(a)
Instead of
loga(b) = ln(b) / ln(a)?
Yuvraj from India.

vishnudeviacharya

Hmm. Great teacher. But the big mystery question for me was how were the values in the log tables calculated in the first place? Or, alternatively, how does my calculator calculate them?

You had me excited most of the way through the video, because I’ve been wondering this since high school (literally decades).
It seemed like a dodge to me back then. “Boys and girls, the way you figure this logarithm stuff out is to actually not figure it out - you look up values in a table or press buttons on a calculator.
That was the first time in my life a maths teacher left me hanging, intellectually.

Anyway, although this video cleared up some algebraic techniques for me, ultimately the solution shown to figure out the value of a logarithm still ends up being, “look it up in a table, or press a button on a calculator.”
Bummer.

kevinkasp

I hope this knowledge remains with me in the future.

guruduttnayak

4:47 can i just write the exact value ln(8)/ln(3)?

dydx_mathematics

i was hopping to come here and learn thing like log of 13.5 base 2 or sth less obvious lmaooo. isnt there a similar method to long division for square roots or ... to find the log of sth in base 2?

itsmeatrin