#### Answer

$log_{5}\sqrt 5=\frac{1}{2}$

#### Work Step by Step

We know that if $b\gt0$ and $b\ne1$, then $y=log_{b}x$ is equivalent to $x=b^{y}$ (where $x\gt0$ and $y$ is a real number).
Therefore, $5^{\frac{1}{2}}=\sqrt 5$ can be written as the logarithmic equation $log_{5}\sqrt 5=\frac{1}{2}$.