SOLUTION: Solve for x: 2^2x - 3 * 2^x

SOLUTION: Solve for x: 2^2x - 3 * 2^x - 40 = 0

Question 481620: Solve for x:
2^2x - 3 * 2^x - 40 = 0
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
, substituting we get the quadratic equation:
. We solve this equation by factoring:
The roots are: {-5, 8}. Now we find the roots of original equation:
<=> and <=>, since the log of
negative numbers doesn't exist our equation has only one solution x=3.
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