What are some identity rules for logarithms?

Oct 20, 2014

Log/Exp Inverse Properties

${b}^{{\log}_{b} x} = x$

${\log}_{b} {b}^{x} = x$

Other Log Properties

${\log}_{b} \left(x \cdot y\right) = {\log}_{b} x + {\log}_{b} y$

${\log}_{b} \left(\frac{x}{y}\right) = {\log}_{b} x - {\log}_{b} y$

${\log}_{b} {x}^{r} = r {\log}_{b} x$

I hope that this was helpful.