dx kx, x(t,)=x, dt where k is a constant of proportionality, serves as a model for diverse phenomena involving either growth or decay. Based on the model, solve the following bacterial growth: A culture initially has P number of bacteria. At t = 1 h, the number of bacteria is measured to be Po . If the rate of growth is proportional to the number of bacteria P(t) present at time t, find the time necessary for the number of bacteria to triple.

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