The towns of Franklin and Chester post their populations on signs just outside of their towns. The signs are
updated once a year at the beginning of the year.
During year 1, Franklin's sign read "Franklin: Population of 20,000", while Chester's sign read
"Chester: Population of 25,000". Each year, the populations grew. Specifically, Franklin's population
grew by 5% each year, and Chester's population grew by 500 people each year.
What is the first year in which Franklin's sign shows a larger number than Chester's sign?