Question

Solve for $x$ :-
$3^{(2x+4)}+1=2\times 3^{(x+2)}$

Answer 1

$3^{2x}+3^4+1=2\times 3^x\times 9$

$81t^2-18t^x+1=0$

$(9t-1{)}^2=0$

$t=\frac{1}{9}=3^x$

$\Rightarrow x=-2$.