In the bustling metropolis of Econopolis, where the skyline is ever-changing and the economy thrives on savvy investments, a young entrepreneur embarks on a journey to become a real estate mogul. Gifted with a single apartment by a mysterious benefactor, this aspiring tycoon sees an opportunity to expand their empire. The strategy is simple yet ambitious: use the rental income from the apartment to acquire more, each becoming a new source of revenue. The goal? To amass a portfolio of $$$C$$$ apartments, transforming the initial gift into a sprawling empire. The journey from a single property to a real estate dynasty will require cunning, patience, and a keen eye for opportunity.

Given that you start with one apartment generating $$$B$$$ dollars per month and can purchase additional apartments for $$$A$$$ dollars each, which also start generating $$$B$$$ dollars per month once acquired, your task is to calculate how many months it will take to own $$$C$$$ apartments. Each month, you can use the income generated to buy more apartments, accelerating your journey toward becoming an apartment tycoon.