展开 1/8 (ln(5)-5/8)

解答

展开

\frac{1}{8} (ln (5) - \frac{5}{8})

\frac{1}{8} ln (5) - \frac{5}{64}

十进制

0.12305 \dots

求解步骤

\frac{1}{8} (ln (5) - \frac{5}{8})

使用分配律:

a (b - c) = ab - a c

a = \frac{1}{8}, b = ln (5), c = \frac{5}{8}

= \frac{1}{8} ln (5) - \frac{1}{8} \cdot \frac{5}{8}

\frac{1}{8} \cdot \frac{5}{8} = \frac{5}{64}

= \frac{1}{8} ln (5) - \frac{5}{64}

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