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!

So we just need to use the above given formula and we enter 1,000,000 in place of N.

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 hours

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

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