Question

se (0,1= 1/10), o valor correro para ( log0,1 0,0001) é?

Answer 1

se 0,1 = 1/10 

então : 

0,0001 = 1/10 000

Resolvendo ... 

$log\ _{0,1}\ \ 0,0001=x\\\\\\log\ _{ \frac{1}{10} }\ \ \frac{1}{10\ 000} =x\\\\\\( \frac{1}{10} )^{x}\ =\ \frac{1}{10\ 000} \\\\\\( \frac{1}{10} )^{x}=( \frac{1}{10} )^{4}\\\\\\\ assim\ temos\ que\ :\\\\\\\boxed{x=4}$

$Ent\~ao:\\\\\\\boxed{\boxed{log\ _{0,1}\ \ 0,0001\ =\ 4}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok\\\\\\\\\\\\\\\ \boxed{\boxed{\boxed{\boxed{\ \ \ \ \ Feliz\ \ Natal\ \ !!!\ \ \ \ \ \ }}}}$