SOLUTION: A bacteria culture doubles every 15min. How long would it take for a culture of 20 bacteria to grow to a population of 163840?
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Question 173587: A bacteria culture doubles every 15min. How long would it take for a culture of 20 bacteria to grow to a population of 163840?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A bacteria culture doubles every 15min. How long would it take for a culture of 20 bacteria to grow to a population of 163840?
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A(t) = Ao*2^(t/4) where t is hours.
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163840 = 20*2^(t/4)
2^(t/4) = 8192
(t/4)log2 = log 8192
t/4 = [log 8192 / log 2]
t/4 = 13
t = 52 hours
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Cheers,
Stan H.
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