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Pre Cal

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A certain strain of bacteria divides every four 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 = 4(log(N/10)/log2

Find the time required for the colony to grow to one million bacteria. (Round your answer to two decimal places.)

  • Pre Cal -

    N=1000000
    you plug this number into the equation like shown below
    4(log(1000000/10))/log(2)
    log(1000000/10)=5
    log(2)=.301029
    4(5/.301029)=66.4387
    the answer is 66.44 if you round it to two decimal places.
    I hope this helps :)))

  • Pre Cal -

    Thank you!!!

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