ANSWER
[tex]1)36[/tex]EXPLANATION
We want to solve the given equation for x:
[tex]\log _6x=2[/tex]To solve this, we have to transform this from a logarithmic equation to an exponential equation in the form:
[tex]\log _ab=c\to a^c=b[/tex]Therefore, we have:
[tex]\begin{gathered} x=6^2 \\ x=36 \end{gathered}[/tex]That is the answer.