Answer
$x=-3$
Work Step by Step
Isolate the exponential term on one side. Then make the base of the right side equal to the base of the left side. Then set the exponents equal to each other.
$(\frac{2}{3})^x=\frac{27}{8}$
$(\frac{2}{3})^x=(\frac{2}{3})^{-3}$
$x=-3$
