lg5 (lg8+lg1000)+(lg2 )(lg2 )+lg0.06+lg1⼀6 帮忙解答一下 要详细解答过程 谢谢

2024-12-17 19:17:54
推荐回答(2个)
回答1:

lg5 (lg8+lg1000)+(lg2 )(lg2 )+lg0.06+lg1/6
=lg5 (3lg2+3)+(lg2 )(lg2 )+lg0.06*1/6
=3lg5+3lg2lg5+lg2lg2+lg0.01
=3lg5+2lg2lg5+lg2(lg2+lg5)-2=3lg5+2lg2lg5+lg2-2
=2lg5+2lg2lg5-1=2lg5(lg2+lg5)-1=2lg5-1

回答2:

lg5 (lg8+lg1000)+(lg2 )(lg2 )+lg0.06+lg1/6

=(lg8+lg1000)lg5+3*(lg2)^2+lg(6)^-1+lg0.006-2*(lg2)^2

=(lg8+3)*lg5+lg8*lg2-lg6+lg6-3-2*(lg2)^2

=lg8(lg5+lg2)+3lg5-3-2*(lg2)^2

=lg8+3lg5-3-2*(lg2)^2

=lg(8*125)-3-2*(lg2)^2

=-2*(lg2)^2