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15 January, 21:25

14. solve log 3x - log 13 = 2

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  1. 15 January, 21:43
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    Log3x - log13 = 2

    This is to base 10, because the base was not specified.

    log A - log B = log (A/B) law of logarithm

    log (3x/13) = 2

    By law of logarithm, conversion from logarithm to indices

    (3x/13) = 10²

    3x/13 = 100

    3x = 100*13

    x = 1300/3

    x = 1300/3 = 433 1/3
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