Question

Solve for x: $3(2^x+1)-2^{x+2}+5=0$

Answer 1

As given$\Rightarrow 3(2^x+1)-2^{x+2}+5=0$
$\Rightarrow 6^x+3-2^{x+2}+5=0$
$\Rightarrow 6^x-2^{x+2}=-8$
$\Rightarrow 2^x(3^1-2^2)=-8$
$\Rightarrow 2^x(3-4)=-8$
$\Rightarrow 2^x=\frac{-8}{-1}$
$\Rightarrow 2^x=8\Rightarrow 2^x=2^3$

Base are same so
$\Rightarrow x=3$