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18 February, 15:34

What is the value of log13

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  1. 18 February, 17:28
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    log 10=1,

    log 2 = 0.3010, and

    log 3 = 0.4771.

    From these values, we can find many other log values.

    log 5 = log 10 - log 2 = 0.699

    log 0.5 = 0-log 2 = - 0.301

    log 1.5 = log 3 - log 2 = 0.1761

    log 2.5 = log 5 - log 2 = 0.398

    To find log of any number y:

    Express y as (10^m) * (2^n) * (3^p) * (1+x).

    Approximate log (1+x) as

    (0.4343) * (x-x^2/2+x^3/3)

    Or 0.4353 * (x-x^2/2)

    log y =

    m + 0.3010*n + 0.4771*p + (0.4353) * (x-x^2/2+x^3/3)

    To find log 13

    13=2^2*3 * (1+1/12)

    log 13

    = 2*0.3010 + 0.4771 + (0.4353) * (1/12 - 1/288+1/5184)

    = 0.6020 + 0.4771 + 0.034847

    = 1.1139
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