Question

evaluate $log_{6}\frac{1}{36}$.
$log_{6}\frac{1}{36} = \square$

Explanation:

Step1: Rewrite argument as power of 6

$\frac{1}{36} = 6^{-2}$

Step2: Apply logarithm power rule

$\log_{6}6^{-2} = -2\log_{6}6$

Step3: Evaluate $\log_{6}6$

$\log_{6}6 = 1$, so $-2 \times 1 = -2$

Answer:

$-2$