# How do you evaluate log_5 (132)?

Nov 21, 2016

#### Explanation:

Use a property of all logarithms:

${\log}_{5} \left(132\right) = {\log}_{10} \frac{132}{\log} _ 10 \left(5\right)$

Every calculator has base 10 logarithms but, if you prefer the natural logarithm:

${\log}_{5} \left(132\right) = \ln \frac{132}{\ln} \left(5\right)$

Regardless of which you use, the answer will be the same:

${\log}_{5} \left(132\right) \approx 3.03$