Question

Solve : $9x=2=720+9^x$

Answer 1

$9^{x+2}=720+9^x$
$\Rightarrow 9^{x+2}-9^x=720$
$\Rightarrow 9^x(9^2-1)=720$
$\Rightarrow 9^x(81-1)=720$
$\Rightarrow 9^x\left(80\right)=720$
$\Rightarrow 9^x=9$
$\Rightarrow 9^x=9^1$
$\Rightarrow x=1$