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 Subject: "Esponential Proof" Previous Topic | Next Topic
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Marcos Mothé
guest
Apr-05-04, 12:04 PM (EST)

"Esponential Proof"

 Someone knows how could I proof that only the exponential function follows that f(a+b)=f(a)*f(b)?

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alexb
Charter Member
1239 posts
Apr-05-04, 12:45 PM (EST)

1. "RE: Esponential Proof"
In response to message #0

 >Someone knows how could I proof that only the exponential >function follows that f(a+b)=f(a)*f(b)? This is only true if the function f is assumed to be continuous and defined for all reals. Please note that, if g(x) = log(f(x)) (and the definition makes sense, i.e., if f(x) is positive) theng(a + b) = g(a) + g(b).For the latter see https://www.cut-the-knot.org/do_you_know/linear.shtml

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