Evaluate 1/2 log base 5 of 625

$\frac{1}{2} \log_{5} (625)$

Logarithm base $5$ of $625$ is $4$ .

$\frac{1}{2} \cdot 4$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{1}{2} \cdot (2 (2))$

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot 2)$

Rewrite the expression.

$2$