# Tetration Forum

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I think the easiest proof is

$f(x^y) = f(x)f(y) = f(y^x)$

which can only be true for a constant function.
(04/14/2011, 11:16 PM)JmsNxn Wrote: [ -> ]I think the easiest proof is

$f(x^y) = f(x)f(y) = f(y^x)$

which can only be true for a constant function.

But this would need a bit more explanation *why* constancy follows from that. And then its not that short anymore

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