Obviously $a^x$ is a solution of $f(x+y)=f(x)f(y)$. But how do I prove that it is the only solution of that functional equation (apart from $f(x)=0$ or $f(x)=1$)
2026-03-29 18:51:03.1774810263
Proof that $a^x$ is the only solution of $f(x+y)=f(x)f(y)$
497 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in CALCULUS
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