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If we are given x such that 25^x - 9^y = 16 and 5^x - 3^y = 2, find x + y.

 
 Feb 23, 2021
 #1
avatar+912 
+1

Notice that \(25^x - 9^y = (5^x + 3^y)(5^x - 3^y)\). Hope this gets you started.

 
 Feb 23, 2021
 #2
avatar+272 
0

It's pretty clear that $\boxed{x=1}$ works.

 
 Feb 23, 2021

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