展开 5/7*(1+ln(7/5))

解答

展开

\frac{5}{7} \cdot (1 + ln (\frac{7}{5}))

\frac{5}{7} + \frac{5}{7} ln (\frac{7}{5})

十进制

0.95462 \dots

求解步骤

\frac{5}{7} (1 + ln (\frac{7}{5}))

使用分配律:

a (b + c) = ab + a c

a = \frac{5}{7}, b = 1, c = ln (\frac{7}{5})

= \frac{5}{7} \cdot 1 + \frac{5}{7} ln (\frac{7}{5})

= 1 \cdot \frac{5}{7} + \frac{5}{7} ln (\frac{7}{5})

乘以:

1 \cdot \frac{5}{7} = \frac{5}{7}

= \frac{5}{7} + \frac{5}{7} ln (\frac{7}{5})

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