A Curious Equation

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A Curious Equation

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The following is an equation that I have been analyzing for a little while on the side:

x^y y^x=Q

I have two questions related to this equation:

Does this equation have a name?
Is there is some clever way to isolate y to one side of the equation? As far as my understanding of math is, it does not seem possible.

Also, on a side note, my nickname for it is the hairpin equation because when I plug in my favorite value of Q, 2(1/e)^(1/e), the graph of the equation resembles a bent hairpin. Does anyone have any alternate nicknames?

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Thell_Borsk

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Posted: 5 years ago
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External URL: reddit.com/r/learnmath/c...