SOLUTION: 2^(2x)-12*2^(x)+32=0

Question 574902: 2^(2x)-12*2^(x)+32=0

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2^(2x)-12*2^(x)+32=0
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That is a quadratic with variable = 2^x:
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(2^x)^2 - 12(2^x) + 32 = 0
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Let w = 2^x
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Substitute:
w^2 - 12w + 32 = 0
Factor:
(w-8)(w-4) = 0
w = 4 or w = 8
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Solve for "x":
2^x = 4 implies x = 2
2^x = 8 implies x = 3
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Cheers,
Stan H
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