计算：（lg根号下27+lg8-lg根号下1000）lg1.2

题目

计算：（lg根号下27+lg8-lg根号下1000）lg1.2

答案

解; (lg√27+lg8-lg√1000)/lg1.2
=(lg3^3/2+lg2^3-lg10^3/2)/lg1.2
=(3/2lg3+3lg2-3/2lg2-3/2lg5)/lg1.2
=(3/2lg3+3/2lg2-3/2lg5)/lg1.2
=3/2(lg3+lg2-lg5)/lg1.2
=3/2(lg6-lg5)/lg1.2
3/2lg6/5/lg1.2
=3/2lg1.2/lg1.2
=3/2