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?
N = 250e^kt
After 10 hrs N = 280 ....(given)
280 = 250e^k(10)
e^10k = ...
Logarithms are used to solve for bacterial growth.