# How do you use the Change of Base Formula and a calculator to evaluate the logarithm log_3 6?

Sep 13, 2015

${\log}_{3} \left(6\right) = \log \frac{6}{\log} \left(3\right) \approx 1.6309$

#### Explanation:

The change the base from a to b the general formula is:

${\log}_{a} \left(x\right) = {\log}_{b} \frac{x}{\log} _ b \left(a\right)$

So in this case to convert form base 3 to a more calculator friendly

base like base 10 we proceed as follow:

${\log}_{3} \left(6\right) = \log \frac{6}{\log} \left(3\right) \approx 1.6309$