Logarithmic Properties

Equality rule: If Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \log_a(x) = \log_a(y) } , then $x=y$
Product rule: $\log _{a}(xy)=\log _{a}(x)+\log _{a}(y)$
Quotient rule: $\log _{a}\left({\frac {x}{y}}\right)=\log _{a}(x)-\log _{a}(y)$
Power rule: $\log _{a}(x^{n})=n\log _{a}(x)$
Change-of-base rule: $\log _{a}(x)={\frac {\log _{b}(x)}{\log _{b}(a)}}$