SOLUTION: 2^2x - 12(2^x) + 32 = 0 I know the answers are 2 and 3 but I do not know how to prove it algebraically

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Question 110147: 2^2x - 12(2^x) + 32 = 0
I know the answers are 2 and 3 but I do not know how to prove it algebraically
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let a=2^x ... a^2-12a+32=0 ... (a-8)(a-4)=0