Question

EQUAÇÃO EXPONENCIAL:
$2^{X}$+$2^{X-1}$=12

Answer 1

$2^{x}+ 2^{x-1}=12 \\ 2^{x}+ 2^{x}. 2^{-1}=12 \\ 2^{x}+ 2^{x}. \frac{1}{2} =12 \\ 2^{x}.(1+\frac{1}{2})=12 \\ 2^{x}.(\frac{3}{2})=12 \\ 2^{x}=12.\frac{2}{3} \\ 2^{x}=8 \\ 2^{x}=2^{3} \\ \\ x=3$