Question

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

Answer 1

$( \sqrt{3} )^x= \sqrt[3]{81} \\ (3^{ \frac{1}{2} })^x=81^{ \frac{1}{3} } \\ 3^{ \frac{x}{2} }=(3^4)^{ \frac{1}{3} } \\ \\ \diagup\!\!\!\!3^{ \frac{x}{2} }=\diagup\!\!\!\!3^{ \frac{4}{3} } \\ \\ \frac{x}{2} = \frac{4}{3} \\ \\ \frac{3x}{\diagup\!\!\!\!6} = \frac{8}{\diagup\!\!\!\! 6} \\ \\ 3x=8 \\ \boxed{\boxed{x= \frac{8}{3} }}$