MathLiveLogarithm product rule
The logarithm of a product equals the sum of the logarithms of the factors, which turns multiplication into addition. It is used to simplify logarithmic expressions and solve exponential equations.
\log_b(xy) = \log_b x + \log_b yWhat the symbols mean
| base of the logarithm (b > 0, b ≠ 1) | |
| positive real number, first factor | |
| positive real number, second factor |
About this formula
- FieldMathematics
- TopicLogarithms
- LevelHigh school
- Also calledlog of a product, product property of logarithms, log xy equals log x plus log y, logarithm of a product, log rule multiplication, sum of logs
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