Question

The rabbit population on Old MacDonald's Farm is doubling every day. There are currently 5 rabbits. The rabbit population of Jacksonville is about 72,926. When will the rabbit population on the farm become greater than the rabbit population of Jacksonville?

Round your answer to the nearest day.

Answer 1

14

Explanation:

After x days, the population of the farm will be
`5(2)^x`.

This means we need to solve
`5(2)^x>72926`.

`5(2)^x>72926 \\ \\ 2^x>(72926)/(5) \\ \\ x>\log_(2)(72926/5) \\ \\ x>13.83... \implies \lceil x \rceil=14`