展开 log_{2}(sqrt(xyz))

解答

展开

lo g_{2} (x yz)

\frac{1}{2} lo g_{2} (x yz)

求解步骤

lo g_{2} (x yz)

改写为

= lo g_{2} ((x yz)^{\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} (x yz)

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