Question

Resolva a equação: 16^5-x=1/4^x

Answer 1

$16^{5-x}=\left(\dfrac{1}{4} \right )^{x}\\ \\ \left(4^{2} \right )^{5-x}=\left(4^{-1} \right )^{x}\\ \\ 4^{2 \cdot \left(5-x \right )}=4^{\left(-1 \right ) \cdot x}\\ \\ 4^{10-2x}=4^{-x}\\ \\ \\ 10-2x=-x\\ \\-2x+x=-10\\ \\ -x=-10\\ \\ \boxed{x=10}$