Question 436887
you study the effects of a bacteria in human patients. you find that after the bacteria enters a patient's body its population grows at a rate of 70% a day. 
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A patient feels sick when the number of bacteria exceeds 60,000.? 
The patient requires hospitalization when the population exceeds 500,000.? 
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How much time will elapse between the time when the patient feels sick and needs hospitalization? (inhours) 
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Equation:
500,000 = 60,000*(1+0.7)^t
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25/3 = 1.7^t
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Take the log of both sides to solve for "t":
t*log(1.7) = log(25/3)
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t = log(25/3)/log(1.7)
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t = 3.9958 hrs = 3hr + 0.9958(60)minutes
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t = 4 hrs. when rounded slightly
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Cheers,
Stan H.
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