# How do you use the Change of Base Formula and a calculator to evaluate the logarithm log_5 3?

I found: ${\log}_{5} \left(3\right) = 0.6826$
Using the change of base formula and choosing the natural log (${\log}_{e} = \ln$) (that can be evaluated using a pocket calculator) you get:
${\log}_{5} \left(3\right) = \ln \frac{3}{\ln \left(5\right)} = 0.6826$
log_a(b)=log_c(b)/(log_c(a) where in our case $c = e$