# Homework Help: Shouldn't these 2 equations be equal?

1. May 26, 2012

### tamtam402

1. The problem statement, all variables and given/known data
I was doing a math problem, where I forgot to simplify e3ln2.

2. Relevant equations

3. The attempt at a solution

Instead of doing e3ln2 = eln(2^3) = eln(8) = 8, I did the following:

e3ln2 = e3*eln2 = 2e3

However, 2e3 ≠ 8.

What happened?
Mod edit: The OP figured it out.

Last edited by a moderator: May 27, 2012
2. May 27, 2012

### tamtam402

Just in case someone stumbles here with the same problem, my mistake was to assume e3ln2 = e3*eln2.

That statement is false since e3*eln2 = e3+ln2 ≠ e3ln2.

3. May 27, 2012

### HallsofIvy

Well, lets hope that people who are attempting to solve problems like this will know that $e^{x+ y}= e^xe^y\ne e^{xy}$.