\( 4^{x +1} \gt 4^{2 -x}\)




\( 4^x.4 \gt 4^2.4^{-x}\)




\( 4^x \gt 4.4^{-x}\)




\( 4^x \gt \Large{ {4} \over {4^x} }\)




\( 4^{2x} \gt 4\), bases iguais nós podemos eliminá-las




\( 2x \gt 1\)




\( \bbox[5px, border: 2px solid blue]{ x \gt \Large{ {1} \over {2} } } \)