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10 April, 12:44

For a growing quantity to reach a value 32 times its initial value, how many doubling times are required?

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  1. 10 April, 14:22
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    The doubling time would be in an exponential expression, that is:

    x^y

    where x is the quantity being doubled, and y is the doubling times

    Since it must be equal to 32 times the initial value, therefore:

    x^y = 32 x

    x^y / x = 32

    x^ (y - 1) = 32

    (y - 1) log x = log 32

    y = (log32 / log x) + 1

    x is the initial value, y is the doubling required
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