$8$ rabbits are released into a forest by a rabbit enthusiast. Taking various factors into account the equation governing rabbit population growth each month is $(2*$n $-(3+0\mathrm{.}15*$n$)).$ Where n is the number of rabbits at the time of initial release $($when months $=0).$ Use a while$$loop to calculate how many months it takes the number of rabbits to reach $500.$ Output the final answer using the variable 'months'.