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## Homework Statement

Solve the exponential equation.

1. (2

^{2x})+(2

^{x}) - 12 = 0

2. 3 * 4

^{x}+ 4 * 2

^{x}+ 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 ( 4

^{x}* 2

^{x}= -8

4

^{x}* 2

^{x}= -2/3

x (ln 8 ) = -2/3

x = (-2/3) / (ln 8)

The back of the book says there is no real solution. Why? Lets say it was a real solution. Did i solve the problem correctly?

Thanks for the help.

-Scrythe