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08/15/2007, 09:30 PM
(This post was last modified: 08/15/2007, 09:31 PM by bo198214.)
jaydfox Wrote:How do you figure that it only works for a<b? It works for any two bases greater than eta, regardless of relative size.
Did you try it?
The sequence is decreasing for
(you can even prove this, similar to my proof that it increases for
) and after some steps it becomes negative and after that the logarithm yields complex numbers. Its quite obvious also from the experimentation.
And I would expect real numbers from a change of base, as the tetration is real for real arguments.
