Answer
$g(2)=25$
Work Step by Step
We are given that $f(x)=log_{5}x$ and that $g(x)=5^{x}$ is the inverse of $f(x)$. We are also told that the ordered pair (2,25) is a solution of the function $g(x)$.
In function notation, we know that $g(2)=25$. This tells us that when $x=2$, the value of $g(x)$ is 25.
$g(2)=5^{2}=25$