Answer
No solutions
Work Step by Step
We have to solve the exponential equation:
$4^{x+3}=2^{2(x+1)}$
Rewriting $4$ as $2^{2}$, we get
$(2^{2})^{x+3}=2^{2x+2}$
$\implies 2^{2x+6}=2^{2x+2}$
Equating the exponents, we obtain
$2x+6=2x+2$ or $6=2$ which is never true.
So, there are no solutions for the above equation.
