2 kinds of microorganisms are found in a sample of food. Let P₁(t) and P₂(t) denote the population size of each microorganism typ at the time t and suppose when t=0 we have P₁(0)=52 and P₂(0)=6. Suppose P₁ and P₂ satisfy the equations:

dP₁/dt = 0.3 P₁anddP₂/dt = 0.7 P₂. This would mean that the population sizes of the two kinds of microorganisms are equal when t = ln(?).