若logax=2,logbx=3,logcx=6,则logabcx的值为_.
问题描述:
若logax=2,logbx=3,logcx=6,则logabcx的值为___.
答
∵logax=2,logbx=3,logcx=6,
∴
=2,lgx lga
=3,lgx lgb
=6.lgx≠0.lgx lgc
则logabcx=
=lgx lga+lgb+lgc
=1,lgx
+lgx 2
+lgx 3
lgx 6
故答案为:1.