Describe the quotient rule for logarithms and give an example.

asked 2021-02-02
Describe the quotient rule for logarithms and give an example.

Answers (1)

The quotient rule for logarithms with base b is given by: \(\displaystyle{\log{{b}}}{x}-{\log{{b}}}{y}={\log{{b}}}{\left(\frac{{x}}{{y}}\right)}\)
For example, \(\displaystyle{\log{{20}}}-{\log{{5}}}={\log{{\left(\frac{{20}}{{5}}\right)}}}={\log{{4}}}\)

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