lg5*lg8000+(lg2^√ 3)^2=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/19 07:24:00
lg5*lg8000+(lg2^√ 3)^2=?

lg5*lg8000+(lg2^√ 3)^2=?
lg5*lg8000+(lg2^√ 3)^2=?

lg5*lg8000+(lg2^√ 3)^2=?
lg5*lg8000+(lg2^根号3)^2
=lg5*(lg8+lg1000)+(√3*lg2)^2
=lg5*(3lg2+3)+3*(lg2)^2
=3lg2*lg5+3lg5+3(lg2)^2
=3lg2(lg2+lg5)+3lg5
=3lg2*lg10+3*lg5
=3lg2+3lg5
=3(lg2+lg5)
=3*1
=3