# Chapter 9 - Section 9.3 - Logarithmic Functions - Exercise Set: 12

$\log_5{(\frac{1}{125})}=-3$

#### Work Step by Step

RECALL: $a^x=y \longrightarrow \log_{a}{y}=x$ Use the rule above, with $a=5$, $x= -3$, and $y=\frac{1}{125}$, to obtain: $\log_5{(\frac{1}{125})}=-3$

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