The number of bacteria present in a culture at time t hours is modeled by the continuous variable N and the relationship N = 2000e^kt, where k is a constant. Given that when t = 3, N = 18 000, find (a) the value of k to 3 significant figures

putting in the conditions: 18000 = 2000e^3k ..  ln(9) = 3k .. k=(1/3)ln(9)

Answered by Benjamin C. Maths tutor

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