PART 11：例題-常用對數的計算
完成下列 \((a)(b)(c)(d)(e)\) 之值
\(\log 1=0\)
\(\log 2\doteq 0.3010\)
\(\log 3\doteq 0.4771\)
\(\log 4\doteq \underline{\ \ (a)\ \ }\)
\(\log 5\doteq \underline{\ \ (b)\ \ }\)
\(\log 6\doteq \underline{\ \ (c)\ \ }\)
\(\log 7\doteq 0.8451\)
\(\log 8\doteq \underline{\ \ (d)\ \ }\)
\(\log 9\doteq \underline{\ \ (e)\ \ }\)
\(\log 10\doteq \ \ 1\)
SOL: 利用對數律 \(\log 4=\log {{2}^{2}}=2\log 2\doteq 0.6020\cdots \cdots (a)\) \(\log 5=\log \frac{10}{2}=\log 10-\log 2\doteq 1-0.3010=0.6990\cdots \cdots (b)\) \(\log 6=\log 2\cdot 3=\log 2+\log 3\doteq 0.3010+0.4771=0.7781\cdots \cdots (c)\) \(\log 8=\log {{2}^{3}}=3\log 2\doteq 0.9030\cdots \cdots (d)\) \(\log 9=\log {{3}^{2}}=2\log 3\doteq 0.9542\cdots \cdots (e)\)
