SOLUTION: solve for x: 2^(2x) + 2^(x+2) - 12 = 0, I believe logarithms are needed.

SOLUTION: solve for x: 2^(2x) + 2^(x+2) - 12 = 0, I believe logarithms are needed.

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Question 464911: solve for x: 2^(2x) + 2^(x+2) - 12 = 0, I believe logarithms are needed.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x = 1
----------
The hard way:

Sub y for 2^2

(y+6)*(y-2) = 0
y = 2^x = -6, 2
Ignore the -6
2^x = 2
x = 1

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