Question

How do you simplify 12^log sub 12 base 144?

Answer 1

\[12^{\log _{12}144}\]

Answer 2

Hint:

\[\Large b^{\log_b(x)} = x\]

Answer 3

so the answer is 144?

Answer 4

what about for \[9^{\log _{3}20}\]

Answer 5

i know u can get it to \[3^{2^{\log _{3}20}}\]

Answer 6

but then what?

Answer 7

yes the answer to the first one is 144

Answer 8

do you know about the second

Answer 9

\[\Large 9^{\log_{3}(20)}\]


\[\Large (3^2)^{\log_{3}(20)}\]


\[\Large 3^{2\log_{3}(20)}\]


\[\Large 3^{\log_{3}(20^2)}\]

Answer 10

so once you get the base of 3 you kind of do a reverse power property? so the answer is 400?

Answer 11

yep

Answer 12

thanks!!!