Question

Simplify the expression.

Answer 1

what are your log rules for this?

Answer 2

meaing, you have course materials to memorize and i cant memorize them for you ... you have to apply what youre learning.

Answer 3

that rule will help

Answer 4

if a^y = x

then log(a^y) = log(x)

or y log(a) = log(x)

Answer 5

what are our a,y, and x parts for this question?

Answer 6

:) you would be right ...

Answer 7

\[12^{log_{12}(24)}=x\]
\[log(12^{log_{12}(24)})=log(x)\]
\[{log_{12}(24)}(log(12))=log(x)\]
\[{log_{12}(24)}=log(x)/log(12)\]
notice that this is refered to as the change of base form, hence
\[log_{12}(24)=log_{12}(x)\]
all things being equal ... x=24