1. If x+y=8 and 2° +2° = 40, then find x,y.
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2^x + 2^(8 - x) = 40
2^x + 2^8 / 2^x - 40 = 0
(2^x)^2 - 40(2^x) + 256 = 0
(2^x - 32)(2^x - 8) = 0
2^x = 32 or 2^x = 8
x = 5 or x = 3
but y = 8 - x
so x = 5, y = 3 or x = 3, y = 5
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