Question

Equação exponencial, qual o resultado: $(\sqrt[3]{2} ) ^{x} \ \textless \ \sqrt[4]{8}$

Answer 1

Boa tarde!!

$( \sqrt[3]{2})^{x} \ \textless \ \sqrt[4]{8}$

$\sqrt[3]{2^{x}} \ \textless \ \sqrt[4]{8}$

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

$\frac{x}{3} \ \textless \ \frac{3}{4}$

$x \ \textless \ \frac{3}{4}.3$

$x \ \textless \ \frac{9}{4}$


Bons estudos :)