lg25+(2/3)lg8+lg5.lg20+(lg2)^2=?

问题描述:

lg25+(2/3)lg8+lg5.lg20+(lg2)^2=?

原式
=2lg5+(2/3)lg8+lg5*lg20+(lg2)^2
=2lg5+2lg2+lg5*(lg5+2lg2)+(lg2)^2
=2lg5+2lg2+(lg5)^2+2lg2lg5+(lg2)^2
=2lg10+(lg5+lg2)^2
=2+1
=3