The rabbit population on a game reserve doubles every 6 months. Suppose there were 120 rabbits initially.(a) Use the exponential function P = P0e^at to determine the growth rate constant a. (Round your answer to four decimal places.)a = (b) Use the function in part (a) to determine approximately how long (in months) it takes for the rabbit population to reach 3,100. (Round your answer to the nearest integer.)months