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Unequally Unintegrally Yoked (Posted on 2005-04-24) Difficulty: 3 of 5
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?

See The Solution Submitted by Steve Herman    
Rating: 3.6667 (3 votes)

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Some Thoughts re: Solution & Spoiler | Comment 3 of 8 |
(In reply to Solution & Spoiler by e.g.)

Letting q=0 (and thus p=1) produces (1,1) as the common point.
  Posted by Federico Kereki on 2005-04-24 21:09:22

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