Question

Qual o resultado?
obs.:
$\frac{1}{9}$
$\sqrt[3]{3}$

Answer 1

$log_{1/9}$∛3 = x
(1/9)^x= ∛3
(1/3^2)^x = 3^1/3
(1/3)^2x= 3^1/3
3^-2x = 3^1/3
-2x= 1/3 (-1)
2x= -1/3
x= -1/3 ÷ 2
x= -1/3·1/2
x= -1/6