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?

(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