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August 17th, 2019, 06:24 PM  #1 
Senior Member Joined: Dec 2015 From: somewhere Posts: 642 Thanks: 91  Equation with 3 variables
Solve for x,y,z integers , $\displaystyle 3^{x}+4^{y} =5^{z}$.

August 17th, 2019, 07:08 PM  #2 
Senior Member Joined: Aug 2012 Posts: 2,393 Thanks: 749 
$3^2 + 4^2 = 5^2$ $3^0 + 4^1 = 5^1$ 
August 17th, 2019, 07:11 PM  #3 
Senior Member Joined: Dec 2015 From: somewhere Posts: 642 Thanks: 91 
Also the method is here Nick's Mathematical Puzzles: Solution 98 

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