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Discussion of Problem 1428. Jedi Riddle

I asumed that Z = 2 and then solved problem. but I can't proove it. can you?
Posted by @ntiFreeze 27 Feb 2007 00:34


Edited by author 27.02.2007 00:36
Re: I asumed that Z = 2 and then solved problem. but I can't proove it. can you?
Posted by Roma Labish[Lviv NU] 27 Feb 2007 00:45
Simple)) z = 2; So x^a+y^b=2^c => 2^(c-1) + 2^(c-1) == 2^(c-1)*(1+1) == 2^(c-1)* 2^1 = 2^(c-1+1) == 2^c; => x^a == 2^(c-1), y^b = 2^(c-1) => x == 2^((c-1)/a), y== 2^((c-1)/b).
Re: I asumed that Z = 2 and then solved problem. but I can't proove it. can you?
Posted by Roma Labish[Lviv NU] 27 Feb 2007 02:41