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15 November, 12:09

Calculate log3 43 to the nearest thousandth.

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  1. 15 November, 12:22
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    Using the relationship

    log_b (x) = log_e (x) / log_e (b)

    where there intermediate base "e" can be replaced with any other positive number.

    log_3 (43) (log 43 to base 3)

    =log_e (43) / log_e (3)

    = 3.761200/1.098612

    = 3.423592 ...

    = 3.424 (to the nearest thousandth)
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