SOLUTION: 2^(x+1)+2^x=3^(y+2)-3^y where x and y are elements of integers. Find x

Question 1153078: 2^(x+1)+2^x=3^(y+2)-3^y where x and y are elements of integers. Find x
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
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Simplify the given equality step by step


     = ,


     = 


     = .


With integer x and y, taking into account uniqueness of factorization of integers into a product of prime numbers,

it implies  x= 3  and  y= 1.    ANSWER

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