How to solve this algebraically?

e^(i Pi)+1=0

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

D H

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.

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.

Joffan

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

Mentallic

Curious3141

Nice!