Use Definition of Common Logarithm: \({b}^{a}=x\) if and only if \(log_b(x)=a\).
\[a=\log_{10}{3}\]
Use Change of Base Rule: \(\log_{b}{x}=\frac{\log_{a}{x}}{\log_{a}{b}}\).
\[a=\frac{\log{3}}{\log{10}}\]
Use Rule of Ten: \(\log{10}=1\).
\[a=\frac{\log{3}}{1}\]
Simplify \(\frac{\log{3}}{1}\) to \(\log{3}\).
\[a=\log{3}\]
Decimal Form: 0.477121
a=log(3)
