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Solve the following logarithmic equation. Be sure to reject any value of $x$ that is not in the domain of the original logarithmic expression. Give the exact answer.
\[
\log _{5} x=2
\]

Rewrite the given equation without logarithms. Do not solve for $x$.
(Do not simplify.)

Answer

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Answer

Simplify the equation using Python code. The final answer is $\boxed{25}$.

Steps

Step 1 ：Rewrite the given equation without logarithms. The equation without logarithms is $5^2 = x$.

Step 2 ：Simplify the equation using Python code. The final answer is $\boxed{25}$.