Question

Preciso da resposta da questão "E"

Answer 1

Bom dia

$\sqrt[6]{1000} * 10^{x}=0,001\Rightarrow \sqrt[6]{ 10^{3} } * 10^{x}= 10^{-3}\Rightarrow \\ \\ 10^{ \frac{3}{6} }* 10^{x}= 10^{-3}\Rightarrow 10^{ \frac{1}{2} }* \ 10^{x}= 10^{-3} \Rightarrow \\ \\ 10^{x+ \frac{1}{2} } = 10^{-3}\Rightarrow x+ \frac{1}{2}=-3\Rightarrow x= -3- \frac{1}{2}\Rightarrow \boxed{x=- \frac{7}{2} }$