SOLUTION: The number B of bacteria in a Petri dish culture after t hours is given by B(t)=35e^0.368t When will the number of bacteria be 550?

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Question 304070: The number B of bacteria in a Petri dish culture after t hours is given by B(t)=35e^0.368t When will the number of bacteria be 550?
Answer by nerdybill(7384) About Me  (Show Source):
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The number B of bacteria in a Petri dish culture after t hours is given by B(t)=35e^0.368t When will the number of bacteria be 550?
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Substitute the given data into the equation and solve for t:
B%28t%29=35e%5E%280.368t%29
550=35e%5E%280.368t%29
550%2F35+=+e%5E%280.368t%29
ln%28550%2F35%29+=+0.368t
ln%28550%2F35%29%2F0.368+=+t
7.49+=+t
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That's
t = 7.49 hours