. Log 2 = 0.301 log 3 = 0.477 log 5 = 0.699 using this information find a) Log 5/6= b) Log 0.3 =

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. Log 2 = 0.301 log 3 = 0.477 log 5 = 0.699 using this information find a) Log 5/6= b) Log 0.3 =

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    2021-09-10T17:17:38+00:00

    We want (a) log 5/6.  There’s a rule of logs that states that

    log a/b = log a – log b.  Here, log 5/6 = log 5 – log 6 = 0.699 – [log 2 + log 6].

    This, in turn, is 0.699 – [0.301 + 0.477] = 0.699 – 0.778 = -0.079 = log 5/6.

    Check:  does 10^(-0.079) = 0.834 = 5/6?  Yes, approximately.  5/6 = 0.33333…  

    Also find (b) log 0.3.  log 0.3 = log 3/10 = log 3 – log 10 = log 3 – 1.

    log 3 – 1 = 0.477 – 1.000 = -0.523.

    Check:  Does 10^(-0.523) = 0.3?  YES

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