A population grows exponentially if enough food resources are available to the individual. Exponential growth equation:Nt​= No​ ertWhere,Nt​= Population density after time tNt​= Population density at time zeror = Intrinsic rate of natural increasee = Base of natural logarithms (2.71828)From the above equation, we can calculate the intrinsic rate of increase (r) of a population.Now, as per the question,Present population density = xThen,Population density after two years = 2xt = 3 yearsSubstituting these values in the formula, we get:⇒ 2x = x e3r⇒ 2 = e3rApplying log on both sides:⇒ log 2 = 3r log eHence, the intrinsic rate of increase for the above-illustrated population is 0.2311.