For this case, the first thing we should do is use the following equation: f (x) = 200 (1.03) ^ x We substitute f (x) = 300: 300 = 200 (1.03) ^ x We clear the value of x: log1.03 (300/200) = log1.03 ((1.03) ^ x) x = log1.03 (300/200) x = 13.72 Answer: the population will first reach 300 in about 13.72 years.