Answer
$\log_{\frac{2}{3}} \frac{27}{8}=-3$
Work Step by Step
$\frac{2}{3}^{-3}=\frac{27}{8}$
This means that $\frac{2}{3}$ must be raised to the power of -3 in order to get $\frac{27}{8}$.
$\log_{\frac{2}{3}} \frac{27}{8}=-3$ means the same.
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