计算(lg√27+lg8-lg√1000)/lg1.2.的值
问题描述：
计算(lg√27+lg8-lg√1000)/lg1.2.的值
答
=lg8(√27/1000)/lg1.2
=(lg(4*3/10)^3/2)/lg1.2
=1.5lg1.2/lg1.2
=1.5
答
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