Answer
{5}
Work Step by Step
$\log_{x}$ $25=2$ is transformed into $25=x^{2}$ using logarithmic rules. Now solving $x^{2}=25$:
$x^{2}=25$
$x^{2}=5^{2}$
$\sqrt {x^{2}}=\sqrt {5^{2}}$
$x=5$
Therefore, the solution set is {5}.
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