Question

$9^{x}* 3^{x+2}=27$

Answer 1

$9^{x}cdot 3^{x+2}=27 \\ 3^{2x}cdot 3^{x+2}=27 \\3^{2x+x+2}=3^3\\3^{3x+2}=3^3\\3x+2=3\\x= dfrac{1}{3}$