# How do you use the Change of Base Formula and a calculator to evaluate the logarithm log_5 10?

May 23, 2018

1.43

#### Explanation:

${\log}_{a} b = \frac{{\log}_{c} b}{{\log}_{c} a}$

So with the logarithm ${\log}_{5} 10$ where a=5 and b=10

We can write it as using the change of base formula,

${\log}_{5} 10 = \frac{{\log}_{10} 10}{{\log}_{10} 5} = \frac{1}{\log} _ 10 5 = 1.43$