# 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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#### Solution Preview

N = 250e^kt

After 10 hrs N = 280 ....(given)

280 = 250e^k(10)

e^10k = ...

#### Solution Summary

Logarithms are used to solve for bacterial growth. The number of bacteria in a culture are given.

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