Question

2^(x+2)-2^(x-2)-15=0

Answer 1

$2^{x+2}-2^{x-2}-15=0\\ \\ 2^{x-2}(2^{4}-1)=15\\ \\ 2^{x-2}\cdot15=15\\ \\ 2^{x-2}=15:15\\ \\ 2^{x-2}=1\\ \\ \Rightarrow x-2=0\\ \\ \boxed{x=2}\\ \\ \Rightarrow S=\{2\}$