How long will it take to pay off a debt of $5000$, with an annual interest rate of $19\%$, compounded monthly, if you make a monthly payment of $100?
I've been using the Loan Repayment formula, where I look for the value of n.
So far I have: $$100= \frac{\left(1+\frac{19}{1200}\right)^{12n} }{ \left(1+\frac{19}{1200}\right)^{12n}-1} \times 5000 \times \left(\frac{19}{1200}\right)$$
I've tried rearranging the terms to find n, but keep getting stuck.