perplexus.info :: Just Math : Distinct Solution Decision

Distinct Solution Decision (Posted on 2015-03-28)

X, Y and Z are three distinct positive integers.

Does the equation:
X^(Y^Z) = Y^(Z^X) = Z^(X^Y) admit of at least one solution?

If so, give an example.
If not, prove it.

No Solution Yet Submitted by K Sengupta

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| Comment 1 of 2

Yes!

X = Y = Z = 1.

Posted by JayDeeKay on 2015-03-30 11:08:46

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