化简(lg5*lg8000+(lg2根号3）^2)/(lg600-1/2lg0.036-1/2lg0.1)
问题描述：
化简
(lg5*lg8000+(lg2根号3）^2)/(lg600-1/2lg0.036-1/2lg0.1)
答
[lg5*lg8000+(lg2^根三)^2]/(lg600-1/2lg0.036-1/2lg0.1)
=[(lg5*(lg8+3)+(√3*lg2)^2]/[lg6+2-1/2lg(0.036*0.1)]
=[3lg5*lg2+3lg5+3*(lg2)^2]/[lg6+2-lg√(0.0036)]
=[3lg2(lg5+lg2)+3lg5]/[lg6+2-lg0.06]
=(3lg2+3lg5)/[lg(6/0.06)+2]
=3(lg5+lg2)/(lg100+2)
=3/(2+2)
=3/4