(lg根号27+lg5-lg10根号2)/lg1.5
问题描述:
(lg根号27+lg5-lg10根号2)/lg1.5
答
(lg√27+lg5-lg10√2)/lg1.5={(3/2)lg3+(1-lg2)-[1+(1/2)lg2]}/(lg3-lg2)=(3/2)(lg3-lg2)/(lg3-lg2)=3/2
(lg根号27+lg5-lg10根号2)/lg1.5
(lg√27+lg5-lg10√2)/lg1.5={(3/2)lg3+(1-lg2)-[1+(1/2)lg2]}/(lg3-lg2)=(3/2)(lg3-lg2)/(lg3-lg2)=3/2