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若logax=2,logbx=3,logcx=6,则logabcx的值为___
人气:434 ℃ 时间:2020-04-07 11:51:45
解答
∵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.
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