Question

por favor !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!    qual é o calculo  de
 3 = log x (1/343 ) 
 sendo  que a resposta 1/7 mandem o calculo 

Answer 1

Olá Camila,

use a definição de log:

$log_bc=k~\to~b^k=c\\\\ log_x\left( \dfrac{1}{343}\right)=3\\\\ x^3= \dfrac{1}{343}\\\\ \dfrac{1}{343}= \dfrac{1}{7^3}=\left( \dfrac{1}{7}\right)^3,~ent\~ao:\\\\\\ x^3= \dfrac{1}{7}^3\\\\ x^{\not3}= \dfrac{1}{7}^{\not3}\\\\\\ \Large\boxed{\boxed{x= \dfrac{1}{7}}}$

Ótimos estudos ^^