[OT] x**y == y**x
Marko Rauhamaa
marko at pacujo.net
Fri Jan 9 16:41:15 EST 2015
Peter Pearson <pkpearson at nowhere.invalid>:
> If you've never looked at the set of reals (x,y) satisfying x**y ==
> y**x, it's worth a visit.
Thanks, it was. The graph's something like this:
| : *
| : *
| : *
| : *
6 + : * *
| : * **
| : * **
| : * **
| : * **
5 + : * **
| : * **
| : * **
| : * **
| : * **
4 + : * **
| : * **
| : * **
| : * **
| : * **
3 + : * **
| : * **
| : ***
| : ** *****
| : ** ***
2 + : ** *********
| : ** **
| : ** *******
| : ** ******
| : **
1 +.........**.................................................
| **:
| ** :
| ** :
| ** :
+*--------+---------+---------+---------+---------+---------+
1 2 3 4 5 6
where the line and the arc intersect at (e, e).
Where can I read more on the topic?
Marko
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