Answer
$\log_2 \left(\dfrac{1}{x^3} \right)$
Work Step by Step
Recall:
$\log_a (MN) = \log_a M+\log_a N$
Use the rule above to obtain:
\begin{align*}
\log_2 \left(\dfrac{1}{x} \right) + \log_2 \left(\dfrac{1}{x^2} \right) &= \log_2 \left(\dfrac{1}{x} \cdot \dfrac{1}{x^2} \right)\\\\
&= \log_2 \left(\dfrac{1}{x^3}\right)\\\\
\end{align*}
Therefore,
$\log_2 \left(\dfrac{1}{x} \right) + \log_2 \left(\dfrac{1}{x^2} \right) = \boxed{\log_2 \left(\dfrac{1}{x^3} \right)}$
