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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
y=log(7)/log(3)