# How do you simplify 3 log_b m – 2 log_b n?

${\log}_{b} {m}^{3} - {\log}_{b} {n}^{2} = {\log}_{b} \left({m}^{3} / {n}^{2}\right)$
Use properties of logarithm ${\log}_{a} {b}^{x} = x \cdot {\log}_{a} b$ and ${\log}_{a} b - {\log}_{a} c = {\log}_{a} \left(\frac{b}{c}\right)$ to simplify.