The populations P1 and P2 of two cities are given by the formulas
P1 = 10000 e k t
P2 = 20000 e 0.01 t
where k is a constant and t is the time in years with t = 0 corresponding to the year 2000. Find constant k so that the two populations are equal in the year 2020 and approximate your answer to 3 decimal places.