evaluate. $log_{5} \frac{1}{5}$ $log_{5} \frac{1}{5} = square$

Explanation:

Step1: Rewrite argument as negative exponent

$\log_{5} \frac{1}{5} = \log_{5} 5^{-1}$

Step2: Apply logarithm power rule

$\log_{5} 5^{-1} = -1 \cdot \log_{5} 5$

Step3: Evaluate base-matching logarithm

$-1 \cdot 1 = -1$

Answer:

$-1$