# How do you evaluate log_7 4 using the change of base formula?

May 20, 2017

$\approx 0.7124 \text{ to 4 dec. places}$
$\text{Given " log_b a" then change of base is as follows}$
• (log_(10)a)/(log_(10)b)
$\Rightarrow {\log}_{7} 4 = \frac{{\log}_{10} 4}{{\log}_{10} 7} \approx 0.7124$