Attempt to formally generalize log, exp functions to 3,4,5..(n,m) log exp - Printable Version +- Tetration Forum (https://math.eretrandre.org/tetrationforum) +-- Forum: Tetration and Related Topics (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1) +--- Forum: Mathematical and General Discussion (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=3) +--- Thread: Attempt to formally generalize log, exp functions to 3,4,5..(n,m) log exp (/showthread.php?tid=175) Pages: 1 2 3 RE: Attempt to formally generalize log, exp functions to 3,4,5..(n,m) log exp - JmsNxn - 04/14/2011 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. RE: Attempt to formally generalize log, exp functions to 3,4,5..(n,m) log exp - bo198214 - 04/15/2011 (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