Question 895153
{{{log(b,(log(3,x^2)))=2}}}
{{{b = log(3,x)}}}
{{{log(3,x)=b}}}
{{{x=3^b}}} ... Substitute into {{{log(b,(log(3,x^2)))=2}}}
{{{log(b,(log(3,(3^b)^2)))=2}}}
{{{log(b,(log(3,3^(2b))))=2}}}
{{{log(b,2b(log(3,3)))=2}}}
{{{log(b,2b(1))=2}}}
{{{log(b,2b)=2}}}
{{{2b=b^2}}}
{{{b^2-2b=0}}}
{{{b(b-2)=0}}}
{{{b=0}}} ... {{{b=0}}} is not acceptable.
or
{{{(b-2)=0}}}
{{{b=2}}} ... {{{b=2}}} is acceptable.

Substitute {{{b=2}}} into {{{x=3^b}}}
{{{x=3^2}}}
{{{x=9}}}