Comparing-functions

$logab= loga + logb \space\space\space\space\space\space\space\space log\frac{a}{b}=loga-logb$$loga^b= bloga \space\space\space\space\space\space\space\space alog^bc=blog^ac \space\space\space\space\space\space\space\space a^b = n\space then \space b = loga^n$