Definition of Common Logarithm

Reference > Algebra: Common Logarithms

Description

The Definition of Common Logarithm Rule states that:

\({b}^{a}=x\) if and only if \(log_b(x)=a\)
Examples
\[{3}^{y}=7\]
1
Use Definition of Common Logarithm: \({b}^{a}=x\) if and only if \(log_b(x)=a\)
\[y=\log_{3}{7}\]

2
Use Change of Base Rule: \(\log_{b}{x}=\frac{\log_{a}{x}}{\log_{a}{b}}\)
\[y=\frac{\log{7}}{\log{3}}\]

Done

Decimal Form: 1.771244