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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 7 of 10 |
(In reply to Solution & Spoiler by e.g.)

I calculated x and y for different values of q and graphed the function, and the result is as everybody said: at q=1 the functions don't exist, but their limit is (e,e).
  Posted by e.g. on 2005-04-26 16:15:57

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