## . 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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## Answers ( No )

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