lg5(lg8+lg1000)+(lg2倍根3)^2+lg1/6+lg0.06要详细步骤
问题描述：
lg5(lg8+lg1000)+(lg2倍根3)^2+lg1/6+lg0.06要详细步骤
谢谢啦
答
lg5(lg8+lg1000)+(lg2倍根号3)^2+lg1/6+lg0.06
=lg5(lg2^3+lg10^3)+（（lg2）*（根号3））^2+lg(1/6)*0.06
=lg5(3lg2+3)+3lg2*lg2+lg0.01
=3lg5*lg2+3lg5+3lg2*lg2-2
=(3lg5*lg2+3lg2*lg2)+3lg5-2
=3lg2*(lg5+lg2)+3lg5-2
=3lg2*lg10+3lg5-2
=3lg2+3lg5-2
=1