# Changing the base of a logarithm

Keywords: changing the base of a logarithm
$lo{g}_{a}x=\frac{lo{g}_{b}x}{lo{g}_{b}a}$
$lo{g}_{a}b·lo{g}_{b}a=1$
${a}^{lo{g}_{b}c}={c}^{lo{g}_{b}a}$
$lo{g}_{a}x=lo{g}_{{a}^{n}}{x}^{n}$