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Mathematics 21 Online
OpenStudy (anonymous):

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OpenStudy (anonymous):

What does \[\huge \log ^{a ^{b ^{b}}}\] mean

hartnn (hartnn):

is it \(\huge \log a^{b^b}\)

OpenStudy (anonymous):

oh yes yes

OpenStudy (anonymous):

sry

hartnn (hartnn):

use the formula \(\Large \ln x^y = y \ln x\)

OpenStudy (anonymous):

b log a^b

hartnn (hartnn):

use it once again :)

OpenStudy (anonymous):

b^2 log a

hartnn (hartnn):

infact, the exponent of a was b^b so bring that down

OpenStudy (anonymous):

oh i get it actually i have started learning logs so i am asking such basic questions

OpenStudy (anonymous):

just*

hartnn (hartnn):

okk..so that would actually become \(b^b \log a\)

OpenStudy (anonymous):

yes i get it

OpenStudy (anonymous):

What base does log 2 have? its a general question

hartnn (hartnn):

\(\Large \log ---> base = 10 \\ \Large \ln ---->base = e \\ \Large \log_2 ----> base = 2\)

hartnn (hartnn):

but sometimes in calculus, log is used to represent natural log, that is log with base e

OpenStudy (anonymous):

Okay ty!

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