pre calculus

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if there are initial 2500 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t hours cab n be found using the formula=N=2500(2^t).how long will it take the culture to grow to 75,000 bacteria.

  • pre calculus -

    75000=2500(2)^t

    take the log of each side:

    log(75000)=log(2500)+tlog(2)
    log(30)=t log (2)
    t= log(30)/log(2)

    solve for t. Your calculator is your best friend on this. I get about five hours

  • pre calculus -

    t=17.3538

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