化简 log_{sqrt(2)}(x)

解答

化简

lo g_{2} (x)

2 lo g_{2} (x)

求解步骤

lo g_{2} (x)

使用根式运算法则:

a = a^{\frac{1}{2}}

2 = 2^{\frac{1}{2}}

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

使用对数计算法则:

lo g_{a^{b}} (x) = \frac{1}{b} lo g_{a} (x), a > 0

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

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

\frac{1}{\frac{1}{2}} = 2

= 2 lo g_{2} (x)

p^{2} - \frac{1}{4}

(- 9 x)^{- 2}

\frac{- 48.3}{( - 7 )}

- 12.8 \cdot (- 4.88)

x^{2} + 2 a x - 15 a^{2}