lg2+lg5=?1-lg2=?1-lg5=?2lg5+2/3lg8+lg5*lg20+(lg2)2=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/06 11:34:41
lg2+lg5=?1-lg2=?1-lg5=?2lg5+2/3lg8+lg5*lg20+(lg2)2=?

lg2+lg5=?1-lg2=?1-lg5=?2lg5+2/3lg8+lg5*lg20+(lg2)2=?
lg2+lg5=?1-lg2=?1-lg5=?2lg5+2/3lg8+lg5*lg20+(lg2)2=?

lg2+lg5=?1-lg2=?1-lg5=?2lg5+2/3lg8+lg5*lg20+(lg2)2=?
lg2+lg5=lg2*5=lg10=1
1-lg2=lg10-lg2=lg(10/2)=lg5
2lg5+2/3lg8+lg5*lg20+(lg2)^2=2lg(10/2)+2/3lg(2^3)+lg(10/2)*lg(10*2)+(lg2)^2
=2-2lg2+2lg2+(1-lg2)(1+lg2)+(lg2)^2
=2+1-(lg2)^2+(lg2)^2
=3

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