Answer
$x=-2$
Work Step by Step
$4\left(\frac{1}{3}\right)^x-8=28$
$4\left(\frac{1}{3}\right)^x=28+8$
$4\left(\frac{1}{3}\right)^x=36$
$\left(\frac{1}{3}\right)^x=\frac{36}{4}$
$(\frac{1}{3})^x=9$
$\left(\frac{1}{3}\right)^x=3^2$
$(3^{-1})^{x}=3^2$
$3^{-x}=3^2$
$-x=2 $
$x=-2$