计算(lg8+lg1000)*lg5+3(lg2)+lg6(负一次方)+lg0.006
问题描述:
计算(lg8+lg1000)*lg5+3(lg2)+lg6(负一次方)+lg0.006
答
=(3lg2+3lg10)lg5+3(lg2)^2-lg6+lg6-3lg1 =(3lg2+3lg2+3lg5)lg5+3(lg2)^2 =6lg2lg5+3(lg5)^2+3(lg2)^2 =3 ( (lg2)^2+2lg2lg5+(lg2)^2 ) =3 (lg2+lg5)^2 =3