2 x + 2 ∗ 3 x + 2 = 108 {\displaystyle 2^{x+2}*3^{x+2}=108}
2 x + 2 ∗ 3 x + 2 = 108 2 x + 1 ∗ 3 x + 2 = 2 2 ∗ 3 2 x + 1 = 2 x + 2 = 3 x = 1 x = 1 {\displaystyle {\begin{aligned}2^{x+2}*3^{x+2}=108\\2^{x+1}*3^{x+2}=2^{2}*3^{2}\\x+1=2\ \ \ x+2=3\\x=1\ \ \ x=1\end{aligned}}}