(1)log(a)x=2,log(b)x=1,log(c)x=4求log(abc)x(2)如果方程lg^2x+(lg2+lg3)lgx+lg2*lg3=0的两个根为x1,X2,求X1*x2
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![(1)log(a)x=2,log(b)x=1,log(c)x=4求log(abc)x(2)如果方程lg^2x+(lg2+lg3)lgx+lg2*lg3=0的两个根为x1,X2,求X1*x2](/uploads/image/z/10431035-35-5.jpg?t=%281%29log%28a%29x%3D2%2Clog%28b%29x%3D1%2Clog%28c%29x%3D4%E6%B1%82log%28abc%29x%282%29%E5%A6%82%E6%9E%9C%E6%96%B9%E7%A8%8Blg%5E2x%2B%28lg2%2Blg3%29lgx%2Blg2%2Alg3%3D0%E7%9A%84%E4%B8%A4%E4%B8%AA%E6%A0%B9%E4%B8%BAx1%2CX2%2C%E6%B1%82X1%2Ax2)
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(1)log(a)x=2,log(b)x=1,log(c)x=4求log(abc)x(2)如果方程lg^2x+(lg2+lg3)lgx+lg2*lg3=0的两个根为x1,X2,求X1*x2
(1)log(a)x=2,log(b)x=1,log(c)x=4求log(abc)x
(2)如果方程lg^2x+(lg2+lg3)lgx+lg2*lg3=0的两个根为x1,X2,求X1*x2
(1)log(a)x=2,log(b)x=1,log(c)x=4求log(abc)x(2)如果方程lg^2x+(lg2+lg3)lgx+lg2*lg3=0的两个根为x1,X2,求X1*x2
1.log(a)x=2,log(b)x=1,log(c)x=4 => x=a^2=b=c^4 => a=c^2
log(abc)x=log(c^7)c^4=4/7
2.lg^2x+(lg2+lg3)lgx+lg2*lg3=0
(lgx+lg2)(lgx+lg3)=0
lgx=-lg2或lgx=-lg3
x1=1/2 x2=1/3
x1*x2=1/6
1:4/7
2:1/6