展开 log_{2}(sqrt(8))

解答

展开

lo g_{2} (8)

\frac{3}{2}

十进制

1.5

求解步骤

lo g_{2} (8)

改写为

= lo g_{2} (8^{\frac{1}{2}})

使用对数运算法则:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

假定

x \geq 0

= \frac{1}{2} lo g_{2} (8)

化简

lo g_{2} (8) : 3

= 3 \cdot \frac{1}{2}

化简

= \frac{3}{2}

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