Question

resolva a equação exponencial 1/3^x=raiz quarta de 27

Answer 1

27=3*3*3
raiz4(27)=3^(3/4)

1/3^x=3^(3/4)
3^-x=3^(3/4)
-x=3/4
x = -3/4

Answer 2

$\frac{1}{3^{x} } = \sqrt[4]{27} \\ 3^{ - x} = \sqrt[4]{ {3}^{3} } \\ 3^{ - x} = {3}^{ \frac{3}{4} } \\ - x = \frac{3}{4} \\ x = - \frac{3}{4}$