SOLUTION: i'm confused on trying to find out what this equals.. the problem is 4^x-2^x-12=0

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Question 450913: i'm confused on trying to find out what this equals.. the problem is
4^x-2^x-12=0

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
4%5Ex+-+2%5Ex+-+12+=+0
<==> 2%5E%282x%29+-+2%5Ex+-+12+=+0
<==> %282%5Ex+-+4%29%282%5Ex+%2B+3%29+=+0
<==> 2%5Ex+-+4+=+0, or 2%5Ex+%2B+3+=+0
The second equation has no real solutions, and so,
2%5Ex+-+4+=+0, or 2%5Ex+=+4, or x = 2.