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___

∵logax=2,logbx=3,logcx=6,

lgx
lga
=2,
lgx
lgb
=3
lgx
lgc
=6
.lgx≠0.
则logabcx=
lgx
lga+lgb+lgc
=
lgx
lgx
2
+
lgx
3
+
lgx
6
=1,
故答案为:1.