Question

3^2x-2*3^2x-2-2*3^2x-1=1

Answer 1

$\mathtt{3^{2x}-2*3^{2x-2}-2*3^{2x-1}=1;~3^{2x}(1-2*3^{-2}-2*3^{-1})=}\\\mathtt{3^{2x}(1-2*\frac{1}{9}-2*\frac{1}{3})=3^{2x}*\frac{1}{9}=9^{x-1}=1=9^0,~\to~x=1}$