Answer
-3
Work Step by Step
$Evaluate$ $the$ $expression$ $without$ $using$ $a$ $calculator:$
$\log_3 \frac{1}{27}$
Rewrite $\frac{1}{27}$ as $3^{-3}$ [Note: $3^{-3} = \frac{1}{3\times3\times3} = \frac{1}{27}$]
$$\log_3 3^{-3}$$
Use the Third Property of Logarithms: $\log_a a^x = x$
$$\log_ 3 3^{-3}= -3$$
