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7 May, 22:29

Approximate: log5 4/7

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  1. 8 May, 01:33
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    Properties of Logs

    logb (x/y) = log bx - log by.

    therefore

    log5 (4/7) = log5 (4) - log5 (7)

    Solve log 5 (4) and log 5 (7) with the base change of the logarithm

    log 5 4 = log 4 / log 5

    Use the calculator:

    log 5 4 = 0.8613531161

    log 5 7 = log 7 / log 5

    log 5 7 = 1.2090619551

    log5 (4/7) = log5 (4) - log5 (7) = - 0.347708839
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