perplexus.info :: Calculus : Unequally Unintegrally Yoked

Unequally Unintegrally Yoked (Posted on 2005-04-24)

The problem "Unequally Yoked" looks for all integral solutions for a^b = b^a. But of course, there are a lot of non-integral solutions. If I graph the solution set where a and b are both greater than 0, I get two intersecting curves. Where do the two curves cross?

Submitted by Steve Herman

Rating: 3.6667 (3 votes)

Solution: (Hide)

a = b = e (where e is the natural logarithmic base)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(3): Solution & Spoiler	K Sengupta	2023-03-05 01:12:27
Puzzle Thoughts	K Sengupta	2023-03-05 01:08:21
re(2): Solution & Spoiler	Steve Herman	2005-04-27 13:30:15
re: Solution & Spoiler	e.g.	2005-04-26 16:15:57
spreadsheet method	Larry	2005-04-25 22:20:15
re(2): Solution & Spoiler	np_rt	2005-04-25 03:33:39
re(2): Solution & Spoiler	Richard	2005-04-24 21:48:56
re: Solution & Spoiler	Federico Kereki	2005-04-24 21:09:22
re: Solution & Spoiler	Richard	2005-04-24 18:39:43
Solution & Spoiler	e.g.	2005-04-24 16:41:23

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