Answer
$x=3$
Work Step by Step
If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x$ and every real number $y$.
Therefore, $log_{9}x=\frac{1}{2}$ is equivalent to $9^{\frac{1}{2}}=x$.
We know that $x=3$, because $9^{\frac{1}{2}}=\sqrt 9=3$.
