# How do you evaluate log_3(1/127)?

Apr 5, 2016

$- 4.409$

#### Explanation:

Rearrange using laws of logarithms

${\log}_{3} \left(\frac{1}{127}\right) = {\log}_{3} \left(1\right) - {\log}_{3} \left(127\right)$

which you can then solve with a calculator

$= - 4.409$