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Are the logarithm rules and exponentiation rules (e.g. $a^{x+y}=a^xa^y$) axioms when talking about real numbers?
Are the logarithm rules and exponentiation rules (e.g. $a^{x+y}=a^xa^y$) axioms when talking about real numbers?
I know many of them can be proved via induction for integers, but no professor has ...
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