query

[lucy]

Hi, i found this quote from a post by quickfur but can't find the post itself, maybe i'm being dense:

quickfur Wrote:
It makes one wonder if the inverse of tetration would also create new numbers... I suspect it must've come up in this forum before, right?

Just interested as it's something i've wondered too, so i'd like to see the original post.

[bo198214]

Hi, i found this quote from a post by quickfur but can't find the post itself, maybe i'm being dense:

quickfur Wrote:
It makes one wonder if the inverse of tetration would also create new numbers... I suspect it must've come up in this forum before, right?

Just interested as it's something i've wondered too, so i'd like to see the original post.

The original post is here. (Hint: if you put your search in double quotes it searches for exact matches.)
And my answer to the question can be found here here.

Say, lucy, are you really a girl? If so, I welcome the first woman on board!

[andydude]

There is one possibility, but I'm not sure. The tetrational function \( {}^{x}(e^{1/e}) \) as \( x\to\infty \) converges to e, so there is no way to solve \( {}^{x}(e^{1/e})=10 \) for real x, but I'm not sure if this makes new numbers, or if its just the plain old complex numbers.

Andrew Robbins