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26 March, 09:41

Using the fact that log 2=0.3010 and log 3 = 0.4771, what is log 18? Show how you know.

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  1. 26 March, 10:09
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    We can factor out log (18) using 2 and 3.

    log (18) = log (2 * 3^2)

    Rewrite it using the Product Rule [ log (xy) = log (x) + log (y) ].

    log (2 * 3^2) = log (2) + 2 log (3)

    Now, solve using the given values.

    0.3010 + 2 (0.4771)

    0.3010 + 0.9542

    1.2552

    Therefore, log (18) = 1.2552

    Best of Luck!
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