- #1

Chase.

- 12

- 0

## Homework Statement

What value of x satisfies the equation:

6 [itex]\cdot[/itex] e

^{2x}= 4

^{x}

## The Attempt at a Solution

If I'm not mistaken, I can move the 6 to the superscripted part of e, resulting in:

e

^{12x}= 4

^{x}

And then I can take the natural log of both sides, resulting in:

12x = ln(4

^{x})

Assuming I haven't made any mistakes, this is what I have so far and I'm stuck. This is for a practice test and I have the answer listed as:

ln6 / (ln4 - 2)

I'm just not sure how to get there.