Question

Calcule Qual é o log1/5 125

Answer 1

Resolu\c{c}\~ao\to \left\{\begin{array}{ccc}log_{ \frac{1}{5} }\ 125 = x\\\\( \frac{1}{5} )^x = 125\\\\(5^{-1})}^x = 125\\\\5^{-x} = 5^{3}\\\\-x = 3\\\\\boxed{\boxed{x = -3}}\end{array}\right