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Bacteria Colony A certain strain of bacteria divides every3 hours. If a colony is started with 50 bacteria, then the time$t$ (in hours) required for the colony to grow to $N$ bacteria isgiven by$$t=3 \frac{\log (N / 50)}{\log 2}$$Find the time required for the colony to grow to a millionbacteria.
$t \approx 42.86$ hours
Algebra
Chapter 4
Exponential and Logarithmic Functions
Section 3
Logarithmic Functions
Campbell University
McMaster University
Idaho State University
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so to solve for the time that it would take to grow a 1,000,000 bacteria. Well, all we have to do is substitute and is equal to and is equal to one million. And so we have a 1,000,000 divided by 50 million, divided by 50. So in other words and over 50 is equal to 20,000 is equal to 20 1000. And so now all we have to do is plug this. And so we have our time T and ours is equal to three times log of 2000 over, log of overlong of to. And so this gives us that t is approximately. He's approximately 40 two point 86 hours, 42.86 hours. And so this is our solution.
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