I have this formula:(adsbygoogle = window.adsbygoogle || []).push({});

(x+α)^{(x+α)}*(y+β)^{(y+β)}*(z+γ)^{(z+γ)}=x^{x}*y^{y}*z^{z}

where α+β+γ=0

I think there might be a distance relationship between x, y and z that would satisfy the equation: if x,y and z are varied with keeping a certain measure of distance constant, the equation will be verified. This is a presupposition of mine I would like to prove or disprove, but I don't know where to start.

Do you have any ideas?

Thank you.

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# Question about relation between powers and distance

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