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7 April, 20:54

If log 27 is 1.436, then what is log 9

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  1. 7 April, 21:10
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    log 27 = log 3^3

    = 3 log 3 (Using a law of logs)

    3 log 3 = 1.436

    so log 3 = 1.436 / 3 = 0.47867

    log 9 = log 3 ^2

    = 2 log 3

    = 2 * 0.47867 = 0.9573 (correct to the nearest 10 thousandth).

    Answer: - log 9 = 0.9573
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