Question 858777
Base was not stated.  Assuming base is 10.


{{{log(10,3sqrt(x-5))=2}}}
{{{log(10,3*sqrt(x-5))=2}}}
{{{10^2=3sqrt(x-5)}}}
{{{100=3*sqrt(x-5)}}}
{{{100/3=sqrt(x-5)}}}
{{{(100/3)^2=x-5}}}
{{{x=(100/3)^2+5}}}
{{{x=10000/9+45/9}}}
{{{highlight(x=10045/9)}}}
OR
{{{highlight(x=1116&1/9)}}}