a culture of bacteria obeys the law of uninhibited growth- if 140-000.docx

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a culture of bacteria obeys the law of uninhibited growth. if 140,000 bacteria are present initially and there are 609,000 after 6 hours. how long will it take for the population to reach 1000000?: Solution law of uninhibited growth. at t=6 hrs bacteria=609000 so equation becomes n=140000e^(kt) t=6 n=609000 so k=1/6*ln(609000/140000)=0.245029 so our equation becomes n=140000e^(0.245029*t ) when n=1000000 then t=?? t=1/0.245029*ln(1000000/140000)=8.0239 hrs .

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