计算:(lg根号下27+lg8-lg根号下1000)\lg1.2
来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/18 22:03:53
计算:(lg根号下27+lg8-lg根号下1000)\lg1.2计算:(lg根号下27+lg8-lg根号下1000)\lg1.2计算:(lg根号下27+lg8-lg根号下1000)\lg1.2解;(l
计算:(lg根号下27+lg8-lg根号下1000)\lg1.2
计算:(lg根号下27+lg8-lg根号下1000)\lg1.2
计算:(lg根号下27+lg8-lg根号下1000)\lg1.2
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
=(3/2lg3+3lg2-3/2)/lg1.2
=3/2(lg3+lg4-1)/lg12/10
=3/2(lg12-1)/(lg12-1)
=3/2
(lg根号下27+lg8-lg根号下1000)\lg1.2=
[lg 3^(3/2)+lg 2^3-lg 10^(3/2)]/lg1.2=3/2(lg3+lg4-lg10)/lg1.2
=3/2
仅供参考