SOLUTION: If x and y are positive integers for which 2^x3^y = 1296, what is the value of x + y? Thanks!

SOLUTION: If x and y are positive integers for which 2^x3^y = 1296, what is the value of x + y? Thanks!

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Question 49607: If x and y are positive integers for which 2^x3^y = 1296, what is the value of x + y?

Thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2^x3^y = 1296, what is the value of x + y?
Divide 1296 by 2 to get 648
Divide by 2 to get 324
divide by 2 to get 162
Divide by 2 to get 81
81 is 3^4
So 1296 is (2^4)(3^4)
Therefore x+y=8
Cheers,
Stan H.

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