计算求值：(lg8+lg1000)lg5+3(lg2)^2+lg6^-1+lgo.oo6

题目

计算求值：(lg8+lg1000)lg5+3(lg2)^2+lg6^-1+lgo.oo6

答案

(lg8+lg1000)lg5+3(lg2)^2+lg6^-1+lg0.006
=3lg2lg5+3lg5+3(lg2)^2-lg6+lg6-3
=3lg2(lg5+lg2)+3(lg5-1)
=3lg2+3lg5-3
=3-3
=0