$4^{x + 2} = 256$

$4^{x + 2} = 256$

$4^{x + 2} = 256$

We know that $4^4 = 256$, so the equation $4^{x + 2}=256$ can be rewritten as $4^{x + 2}=4^4$.

If $a^m=a^n$ (where $a>0,a
eq1$), then $m = n$. Here, $a = 4$, $m=x + 2$, and $n = 4$. So we have the equation $x+2=4$.

Subtract 2 from both sides of the equation $x + 2=4$. We get $x=4 - 2$, which simplifies to $x = 2$.

$x = 2$