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Distinct Solution Decision (Posted on 2015-03-28) Difficulty: 3 of 5
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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Comments: ( Back to comment list | You must be logged in to post comments.)
re: No Subject Comment 2 of 2 |
(In reply to No Subject by JayDeeKay)

Oops, forget that.

Didn't RTQ properly (X, Y, Z must be distinct.)
I shall now go and flog myself with wet noodles . . .

  Posted by JayDeeKay on 2015-03-30 11:10:40
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