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A Certain Strain of Bacteria Divides Every Three Hours t=3log(N/50)log2t = 3 \frac { \log ( N / 50 ) } { \log 2 }

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A certain strain of bacteria divides every three hours. If a colony is started with 50 bacteria, then the time t (in hours) required for the colony to grow to N bacteria is given by t=3log(N/50)log2t = 3 \frac { \log ( N / 50 ) } { \log 2 } Find the time required for the colony to grow to two million bacteria.


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