Answer
$x=81$
Work Step by Step
We have to solve the logarithmic equation
$\log_{2}(\log_{3}x)=2$.
We will rewrite it in exponential form:
$\log_{a}b=c\Rightarrow b=a^c$.
$\log_3 x=2^2$
$\log_3 x=4$
Rewrite this equation is exponential form:
$x=3^4=81$
Check if the solution is valid:
$\log_2(\log_3 81)=\log_2(\log_3 (3^4))=\log_2 4=\log_2 (2^2)=2\checkmark$
