Answer
$\log_5{625}=4$
Work Step by Step
RECALL:
$b^y=x \longleftrightarrow \log_b{x} =y .$
Use the definition above to obtain
$5^4 = 625 \longrightarrow \log_5{625}=4.$
Thus, the equivalent logarithmic form of the given expression is
$\log_5{625}=4.$