The concentration y of a certain drug in the bloodstream t hours after an oral dosage (with 0<= t <=15) is given by the equation y=100(1-e^-.462t). How long does it take the concentration to reach 60? (answer two decimal places)

60 = 100(1-e^-.462t)

60/100 = 1-e^-.462t

e^-.462t = 1- 60/100 = 1- 0.6 = 0.4

ln(e^-.462t) = ln(0.4)

-0.462t = -0.9163

t = -0.9163/-0.462 = 1.98 hours

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