If the bacteria in a culture double in 4 hours, how many hours will it take before 3 times the original number is present?

Question

It will take  ?  hours. (Answer should be accurate to within at least three digits.)

Answer 1

N = N_o(2)^t/4

Solve for t so that N/N₀ = 3

Rearranging the equation:

ln(N/N₀) = (t/4)ln(2)

t = (4ln(3)/ln(2)) in hours

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