- #1
Scrythe
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Homework Statement
Solve the exponential equation.
1. (22x)+(2x) - 12 = 0
2. 3 * 4x + 4 * 2x + 8 = 0
Homework Equations
The Attempt at a Solution
1. 2x ln 2 + x ln 2 = ln 12
x(2 ln 2 + ln 2)= ln 12
x=( ln 12) / (2 ln 4).
I'm thinking I'm factoring out the X wrong.
2. 12 ( 4x * 2x = -8
4x * 2x = -2/3
x (ln 8 ) = -2/3
x = (-2/3) / (ln 8)
The back of the book says there is no real solution. Why? Let's say it was a real solution. Did i solve the problem correctly?
Thanks for the help.
-Scrythe