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Proposition: Functional Equation of the Natural Logarithm
For all \(x,y\in\mathbb R_+^*\), i.e. for all positive real numbers, the natural logarithm fulfills the following functional equation:
\[\ln(xy)=\ln(x) + \ln(y).\]
Table of Contents
Proofs: 1
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Proofs: 1
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References
Bibliography
- Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983
