Answer
$x=-3$ or $x=1$
Work Step by Step
$(4^x)^{x+2}=64\\4^{x(x+2)}=4^3$
Thus $x(x+2)=3\\x^2+2x-3=0\\(x+3)(x-1)=0$
Thus $x=-3$ or $x=1$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.