How to solve for X

Question

13,000(1+0.059/12)^12x=63,700(1-0.143)^x

Answer 1

Take log of both sides and use the log properties

log13000 + 12xlog(1+0.059/12) = log63700 + xlog(1-0.143)

12xlog(1+0.059/12) - xlog(1-0.143) = log63700 - log13000

x = [log63700 - log13000] / [12log(1+0.059/12) - log(1-0.143)]