(1-lg3)(lg8+lg√27-lg√1000)/lg0.3lg1.2

(1-lg3)(lg8+lg√27-lg√1000)/lg0.3lg1.2
(1-lg3)(lg8+lg√27-lg√1000)/lg0.3lg1.2

(1-lg3)(lg8+lg√27-lg√1000)/lg0.3lg1.2
(1-lg3)(lg8+lg√27-lg√1000)/lg0.3lg1.2
=(1-lg3)(lg2^3+lg3^3/2-lg10^3/2)/[(lg3-1)(lg12-1)]
=(1-lg3)(lg2^3+lg3^3/2-lg10^3/2)/[(1-lg3)(1-lg12)]
=(lg2^3+lg3^3/2-lg10^3/2)/(1-lg12)
=(3lg2+3/2*lg3-3/2*lg10)/(1-lg12)
=(3lg2+3/2*lg3-3/2)/(1-lg12)
=(3/2*lg2^2+3/2*lg3-3/2)/(1-lg12)
=(3/2*lg4+3/2*lg3-3/2)/(1-lg12)
=[3/2*lg(4*3)-3/2]/(1-lg12)
=[3/2*lg12-3/2]/(1-lg12)
=3/2(lg12-1)/(1-lg12)
=-3/2(1-lg12)/(1-lg12)
=-3/2

(1 - lg3)(lg8 + lg√27 - lg√1000)/lg0.3lg1.2
= (1 - lg3)[3lg2 + (3/2)lg3 - (3/2) ]/[(lg3 - 1)(lg3 + 2lg2 - 1)]
= -(3/2)(lg3 + 2lg2 - 1)/(lg3 + 2lg2 - 1)
= -3/2