# How to solve this algebraically?

1. Apr 10, 2012

### e^(i Pi)+1=0

1. The problem statement, all variables and given/known data
125,000=79,770.26(1+$\frac{.045}{n}$)10n

2. Relevant equations

3. The attempt at a solution
I'm not sure how to use a logarithm with this, or if it's even possible. I know that n=12, I just don't know how to solve for it.

2. Apr 10, 2012

### D H

Staff Emeritus
n = 12 is a solution for sufficiently large values of 12. n=12 (exactly) is not a solution. n≈12.06655246 is a solution.

You can't solve this analytically. You will need to resort to numerical techniques.

3. Apr 10, 2012

### e^(i Pi)+1=0

Thanks, I wasn't sure if I was missing something. It's not exactly 12 here because the 79,770.26 is rounded.

4. Apr 10, 2012

### Joffan

79,770.62 is closer, and 79,770.63 is closer still for n=12.

5. Apr 10, 2012

### Mentallic

:rofl:

6. Apr 11, 2012

Nice!