Question

evaluate.
log(base3) 9^500

Answer 1

\[\Huge \log_{3} 9^{500}\]

Answer 2

this?

Answer 3

correct

Answer 4

\[9^{500}=3^{1000}\] so answer is 1000

Answer 5

only step is writing
\[9^{500}=(3^2)^{500}=3^{1000}\]

Answer 6

and
\[\log_3(3^x)=x\]

Answer 7

easy thanks guys