Question

resolva a equação exponencial; 6^4x=2016^2x

Answer 1

$6^{4x}=216^{2x}\\ \\6^{4x}=(6^3)^{2x}\\ \\6^{4x}=6^{3\cdot2x}\\ \\6^{4x}=6^{6x}\\ \\ \\ 4x=6x\\ \\4x-6x=0\\ \\-2x=0\\ \\x= \frac{0}{-2} \\ \\x=0$