A certain strain of bacteria divides every five hours. If a colony is started wi

Algebra
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A certain strain of bacteria divides every five hours. If a colony is started with 10 bacteria, then the time t (in hours) required for the colony to grow to N bacteria is given by
t = 5
log(N/10)
log 2
.
Find the time required for the colony to grow to one million bacteria. (Round your answer to two decimal places.)

t =  hr

Jul 17th, 2015

Thank you for the opportunity to help you with your question!

We just need to enter 1 million in place of N into the above given formula. So we have:

t = log(N/10) /log(2)   ---------> t = log(1,000,000/10)/log(2) = log(100,000)/log(2) = 5/0.30103 = 16.6096 hours

t = 16.61 hrs

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 17th, 2015

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