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 \( b<a \) (you can even prove this, similar to my proof that it increases for \( a<b \)) 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.
