lg5^2+2/3lg8+lg5*lg20+（lg2）^2=?

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/05 18:42:31

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

lg5^2+2/3lg8+lg5*lg20+（lg2）^2=?
lg5^2+2/3lg8+lg5*lg20+（lg2）^2
=2lg5+2/3lg2^3+lg5*lg5*2^2 +（lg2）^2
=2lg5+2/3 * 3 lg2+lg5(lg5+2lg2)+（lg2）^2
=2lg5+2lg2+(lg5)^2+2lg5lg2+(lg2)^2
=2(lg5+lg2)+(lg5)^2+2lg5lg2+(lg2)^2
=2lg10 + (lg5+lg2)^2
=2+(lg10)^2
=2+1=3

原式=2lg5+2/3lg2³+lg5(lg2+lg10)+(lg2)²
=2lg5+2lg2+lg5lg2+lg5+(lg2)²
=2(lg5+lg2)+lg2(lg5+lg2)+lg5
=2+lg2+lg5
=2+1
=3

lg5² + 2/3 lg8 + lg5*lg20 +lg²2
= 2lg5 + 2lg2 + lg5*(lg4 + lg5) + lg²2
= 2(1 - lg2) + 2lg2 + (1 - lg2)(2lg2 + 1 - lg2) + lg²2
= 2 - 2lg2 + 2lg2 + 1 - lg²2 + lg²2
= 3

94565adWaat

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

lg5^2+2/3lg8+lg5*lg20+lg2^2 lg5^2+lg8^2/3+lg5*lg20+(lg2)^2=? （lg5)平方+2/3lg8+lg5乘lg20+（lg2)平方 3lg2+2lg5+lg5乘以lg8怎样算 lg5²+2/3lg8+lg5*lg20+(lg2)² lg5²+2/3lg8+lg5×lg20+(lg2)² lg2+lg5=?1-lg2=?1-lg5=?2lg5+2/3lg8+lg5*lg20+(lg2)2=? lg5^2+2/3lg8+lg5*lg20+(lg2)^2 lg5*lg20怎么办啊 (lg2)^3+(lg5)^3+lg5*lg8=(lg2+lg5)[(lg2)^2-lg2*lg5+(lg5)^2]+lg5*lg2^3=1[(lg2)^2-lg2*lg5+(lg5)^2]+3lg5*lg2=(lg2)^2+(lg5)^2+2lg5*lg2=(lg2+lg5)^2=1网上看了看答案,可是第一步没有看懂.求得出第一步的过程, 对数lg2*lg5=?2lg（5）+2/3 lg8+lg5*lg20+lg2 =lg5^2+lg8^(2/3)+lg5*(lg4+lg5)+lg2 =lg100+lg5+2lg2*lg5+lg2 =2+(lg5+lg2) =2+1 =3 第二个等号lg5*(lg4+lg5)为什么=lg5+2lg2*lg5 lg5（2）+2/3lg8+lg5*lg2+（lg2）^2 计算：（lg2)2+3lg5+lg5(1+lg2)+lg8+log2（5）log5（4) 化简[(1-lg5)^2+lg2乘lg5]/lg8 lg25+2/3lg8+lg5*lg20+(lg2)^2 （lg2）^2+lg25+2/3lg8+lg5*lg20=? lg25+2/3lg8+lg5*lg20+（lg2）^2=? lg25+(2/3)lg8+lg5.lg20+(lg2)^2 lg25+(2/3)lg8+lg5.lg20+(lg2)^2=?