Answer
$(5)^{-1}=5^{-1}$
Work Step by Step
For all positive numbers $a$, where $a\ne1$, and all positive numbers $x$, we know that $y=log_{a}x$ means the same as $x=a^{y}$.
Therefore, $log_{5}5^{-1}=-1$ means the same as $(5)^{-1}=5^{-1}$.
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