化简 log_{12}(4)

解答

化简

lo g_{12} (4)

2 lo g_{12} (2)

十进制

0.55788 \dots

求解步骤

lo g_{12} (4)

因式分解数字:

4 = 2^{2}

= lo g_{12} (2^{2})

使用对数计算法则:

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

lo g_{12} (2^{2}) = 2 lo g_{12} (2)

= 2 lo g_{12} (2)

d o main f (a) = \frac{12 a ^{3} - 3 a}{12 a ^{3} + 6 a ^{2}}

s im pl i f y (x^{2})^{3} + x^{2}

f a c t or 8 x^{2} + 34 x + 35

f a c t or 9 x^{4} + 72 x^{3} + 23 x^{2} - 308 x - 196

\frac{47}{4}