Question

$log \: \sqrt[6]{100}$
​

Answer 1

Olá,

$log( \sqrt[6]{100} )$

Chame de x e aplique a definição de logaritmos:

$log( \sqrt[6]{100} ) = x$

${10}^{x} = \sqrt[6]{100}$

${10}^{x} = \sqrt[6]{ {10}^{2} }$

${10}^{x} = {10}^{ \frac{6}{2} }$

$x = \frac{6}{2}$

$x = 3$

Logo:

$log( \sqrt[6]{100} ) = 3$