Question

(raiz quarta de 3)^× = raiz cubica de 9

Answer 1

$( \sqrt[4]{3})^x = \sqrt[3]{9} \\ \\ (3 ^\frac{1}{4})^x = 9^{ \frac{1}{3}} \\ \\ 3^{ \frac{x}{4}} = (3^2)^{ \frac{1}{3}} \\ \\ 3^{ \frac{x}{4}} = 3^{ \frac{2}{3}} \\ \\ \frac{x}{4} = \frac{2}{3} \\ \\ 3x = 4.2 \\ \\ 3x =8 \\ \\ x = \frac{8}{3}$