# How to solve this algebraically?

by e^(i Pi)+1=0
Tags: algebraically, solve
 P: 232 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.
Mentor
P: 14,242
 Quote by e^(i Pi)+1=0 I know that n=12, I just don't know how to solve for it.
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.
 P: 232 Thanks, I wasn't sure if I was missing something. It's not exactly 12 here because the 79,770.26 is rounded.
P: 329

## How to solve this algebraically?

79,770.62 is closer, and 79,770.63 is closer still for n=12.
HW Helper
P: 3,420
 Quote by D H n = 12 is a solution for sufficiently large values of 12
HW Helper
P: 2,795
 Quote by D H n = 12 is a solution for sufficiently large values of 12.
Nice!

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