Answer
$log_{5}\sqrt 5=\frac{1}{2}$
Work Step by Step
We are given that $5^{\frac{1}{2}}=\sqrt 5$.
If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x$ and every real number $y$.
Therefore, $5^{\frac{1}{2}}=\sqrt 5$ is equivalent to $log_{5}\sqrt 5=\frac{1}{2}$.
