Question

$( \sqrt{3})^x = \sqrt[3]{81}$ como resolve?

Answer 1

$( \sqrt{3}) ^{x} = \sqrt[3]{81}$

$3^{ \frac{x}{2} } = 81^{ \frac{1}{3} }$

$3^{ \frac{x}{2} } = (3^{4} )^{ \frac{1}{3} }$

$3^{ \frac{x}{2} } = 3^{ \frac{4}{3} }$

$\frac{x}{2}= \frac{4}{3}$

$x= 2. \frac{4}{3}$

$x= \frac{8}{3}$