lg5(lg8+lg1000)+3lg(lg2)^2+lg1/6+lg0.06
问题描述:
lg5(lg8+lg1000)+3lg(lg2)^2+lg1/6+lg0.06
答
答:
lg5(lg8+lg1000)+3(lg2)^2+lg1/6+lg0.06
=lg5(3lg2+3)+3(lg2)^2-lg6+lg(6/100)
=3(1-lg2)(lg2+1)+3(lg2)^2-lg6+lg6-2
=3-3*(lg2)^2+3(lg2)^2-2
=3-2
=1