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In an experiment, the population P of bacteria is given by P=1000e^kt,where k is constant.If the size of population bacteria is found to be 3000 after 10 hours, what is the size of the population after 5 hours?Show me the solution please.

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  1. 3000 = 1000 e^10 k

    3 = e^10k

    ln 3 = 10 k
    solve for k

    n = 1000 e^5k with same k
    do e^5k on your calculator

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