Answer
True.
Work Step by Step
First, use the fact that $a^\frac{1}{2}=\sqrt{a}$ to rewrite the expression as $\log (x^\frac{1}{2})$. Since $\log a^b=b \log a$ for all positive values of $a$ and real values of $b$, the expression can be simplified to $=\frac{1}{2} \log (x)$. This makes the statement true.
