展开 1/3 (50ln(5)-24)

解答

展开

\frac{1}{3} (50 ln (5) - 24)

\frac{50}{3} ln (5) - 8

十进制

18.82396 \dots

求解步骤

\frac{1}{3} (50 ln (5) - 24)

使用分配律:

a (b - c) = ab - a c

a = \frac{1}{3}, b = 50 ln (5), c = 24

= \frac{1}{3} \cdot 50 ln (5) - \frac{1}{3} \cdot 24

= 50 \cdot \frac{1}{3} ln (5) - 24 \cdot \frac{1}{3}

化简

50 \cdot \frac{1}{3} ln (5) - 24 \cdot \frac{1}{3} : \frac{50}{3} ln (5) - 8

= \frac{50}{3} ln (5) - 8

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