SOLUTION: A population of bacteria is growing according to the exponential model P = 100e^-70t , where P is the number of colonies and t is measured in hours. After how many hours will 300

Question 1067221: A population of bacteria is growing according to the exponential model
P = 100e^-70t , where P is the number of colonies and t is measured in hours. After how many hours will 300 colonies be present? [Round answer to the nearest tenth.]
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A population of bacteria is growing according to the exponential model
P = 100e^-70t , where P is the number of colonies and t is measured in hours. After how many hours will 300 colonies be present? [Round answer to the nearest tenth.
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Solve for "t"::
300 = 100*e^(-70t)
e^(-70t) = 3
-70t = ln(3)
-70t = 1.0986
Comment:: t would be negative.
Please check your post.
Cheers,
Stan H.
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