# How do you use the Change of Base Formula and a calculator to evaluate the logarithm log_5 44?

May 23, 2018

$\approx 2.35$
${\log}_{b} \left(x\right) = \frac{{\log}_{n} \left(x\right)}{{\log}_{n} \left(b\right)}$
often when using the formula we use ${\log}_{e} \left(x\right)$ or $\ln \left(x\right)$:
${\log}_{5} 44 = \ln \frac{44}{\ln} 5 \approx 2.35$