Question

Equação exponencial:

Raiz quintupla de 81 elevado a x = raiz quadrada de 3

Answer 1

E ae manoo,

$( \sqrt[5]{81})^x= \sqrt{3}\\ (\sqrt[5]{3^4})^x= \sqrt[2]{3^1}\\ (3^{ \tfrac{4}{5} })^x=3^{ \tfrac{1}{2} }\\ \not3^{ \tfrac{4}{5}x}=\not3^{ \tfrac{1}{2} }\\\\ \dfrac{4}{5}x= \dfrac{1}{2}\\\\ x= \dfrac{1}{2}\div \dfrac{4}{5}\\\\ x= \dfrac{1}{2}\cdot \dfrac{5}{4}\\\\ x= \dfrac{5}{8}\\\\\\ \huge\boxed{\boxed{S=\left\{ \dfrac{5}{8}\right\}}}$

Tenha ótimos estudos ;D