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受欢迎的代数 >

展开 ((ln(5/3))/(ln(2)))(4.8)

解答

展开

(\frac{ln ( \frac{5}{3} )}{ln ( 2 )}) (4.8)

解答

3.53743 \dots

求解步骤

(\frac{ln ( \frac{5}{3} )}{ln ( 2 )}) (4.8)

去除括号:

(a) = a

= \frac{ln ( \frac{5}{3} )}{ln ( 2 )} \cdot 4.8

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{ln ( \frac{5}{3} ) \cdot 4.8}{ln ( 2 )}

化简

ln (2) : 0.69314 \dots

= \frac{4.8 ln ( \frac{5}{3} )}{0.69314 \dots}

转换为小数形式

\frac{5}{3} = 1.66666 \dots

= \frac{4.8 ln ( 1.66666 \dots )}{0.69314 \dots}

数字相除:

\frac{4.8}{0.69314 \dots} = 6.92493 \dots

= 6.92493 \dots ln (1.66666 \dots)

化简

ln (1.66666 \dots) : 0.51082 \dots

= 0.51082 \dots \cdot 6.92493 \dots

数字相乘:

6.92493 \dots \cdot 0.51082 \dots = 3.53743 \dots

= 3.53743 \dots

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