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Proposition: Functional Equation of the Exponential Function of General Base
For all real \(x,y\in\mathbb R\), and all real \(a > 0\), the exponential function of general base \(a > 0 \) fulfills the following functional equation
\[\exp_a(x+y)=\exp_a(x)\cdot \exp_a(x).\]
Table of Contents
Proofs: 1 Corollaries: 1
Mentioned in:
Proofs: 1 2 3 4
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer VerĂ¤nderlichen", Vieweg Studium, 1983