Question

Usando as propriedades dos logaritmos calcule log base 2 raíz cúbica de 4

Answer 1

$log\ _2\ \sqrt[3]{4} = x\\\\ 2^x = \sqrt[3]{4}\\\\ 2^x = 4^\frac{1}{3}\\\\ 2^x = 2^2^(^\frac{1}{3}^)\\\\\ 2^x = 2^\frac{2}{3}\\\\\ \boxed{x=\frac{2}{3}}$

Answer 2

$Log _{2} \sqrt[3]{4} = x \\ \\ 2^{x}= \sqrt[3]{4} \\ \\ 2^{x}= (2^{2})^{ \frac{1}{3} } \\ \\ 2^{x}=2^{ \frac{2}{3} } \\ \\ x= \frac{2}{3}$

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