Anonymous asked in Science & MathematicsMathematics · 9 years ago

Doubling math question?

If a certain bacteria can double its population every hour, how long will it take for the population of the bacteria to reach 16384 assuming that there is one bacterium to start with?

Okay so i know the long way to solve this, just to keep doubling it, but is there a shorter way?

3 Answers

  • Anonymous
    9 years ago
    Favorite Answer

    There will be 2^n bacteria after n hours when started with 1.

    2^n = 16384

    You do the calculations.

  • Anonymous
    9 years ago

    yes, using a scientific calculator and logarithms

    the equation is 2 ^ N = 16384

    so N (log 2) = log 16384

    N = log 16384 / log 2

    using my calculator gives exactly 14 hours :-)))

    if you don't know what a logarithm is, then you just have to keep on doubling. sorry.

  • 9 years ago

    there is always a short way for everything but unfortunately idk =(

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