# How do you find the value of log_6 24 using the change of base formula?

Mar 7, 2018

Approximately $1.7737$

#### Explanation:

Change of base formula states that:

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

Here, we can substitute:

${\log}_{6} 24$

becomes:

$\log \frac{24}{\log} 6$

$= \frac{1.3802}{0.7782}$

$\cong 1.7737$

And there we have our answer.