# Bacterial growth word problem using logarithms.

The number of bacteria N in a culture is given by the model N=250e^kt, where t is the time in hours, with t=0, corresponding to the time when N=250. When t=10, there are 280 bacteria. How long does it take the population to double in size? To triple in size?

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...280/250 = 1.12

k = (ln 1.12)/10 = 0.0113328

When the population doubles, ...