作业帮计算(lg√27+lg8-lg√1000)/lg1.2.的值
来源：学生作业帮助网 编辑：作业帮 时间：2024/08/01 10:26:14
x){nu5r u22I
4s
jyڰ&Hv6$o=9qF@-Fq@MX}
6MT& `A1H5X&69Z&0GHȢ@A<;m [g5G- &Z @f"bXC ?
计算(lg√27+lg8-lg√1000)/lg1.2.的值
计算(lg√27+lg8-lg√1000)/lg1.2.的值
计算(lg√27+lg8-lg√1000)/lg1.2.的值
原式==[lg3^(3/2)+lg2^3-lg10^(3/2)]/(lg1.2)
=[lg3^(3/2)+lg4^(3/2)-lg10^(3/2)]/(lg1.2)
=(3/2)(lg3+lg4-lg10)/(lg1.2)
=(3/2)lg(3*4/10)/lg1.2
=(3/2)lg1.2/lg1.2
=3/2
=lg8(√27/1000)/lg1.2
=(lg(4*3/10)^3/2)/lg1.2
=1.5lg1.2/lg1.2
=1.5