[tex]\bf \textit{Logarithm Change of Base Rule}\\\\
log_a b\implies \cfrac{log_c b}{log_c a}
\\\\\\
\textit{Logarithm Cancellation Rules}\\\\
\boxed{log_a a^x = x}\qquad \qquad a^{log_a x}=x\\\\
-------------------------------\\\\
log_{100}(50)\implies \cfrac{log_{10}(50)}{log_{10}(100)}\implies \cfrac{log_{10}(50)}{log_{10}(10^2)}\implies \cfrac{log(50)}{2}
\\\\\\
\cfrac{1.699}{2}\implies 0.8495[/tex]
