Question

Qual o valor: log81 na base raiz cúbica de 3?

Answer 1

Definição de logaritimo:

$\log_a{b} = x \implies a^x = b$

Agora a questão:

$\log_{\sqrt[3]{3}}{81} = x\\\\(\sqrt[3]{3})^x = 81\\\\(3^{\frac{1}{3}})^x = 3^4\\\\3^\frac{x}{3}= 3^4\\\\\\\dfrac{x}{3} = 4\\\\x = 12$