题目内容
等比数列{an}中,a4a5a6=
,则log3a1+log3a2+log3a5+log3a8+log3a9=______.
1 |
3 |
由等比数列的性质可得a4a5a6=a53=
,
∴log3a1+log3a2+log3a5+log3a8+log3a9=log3(a1a2a5a8a9)
=log3(a5)5=5log3a5=
log3a53=
log3
=-
故答案为:-
1 |
3 |
∴log3a1+log3a2+log3a5+log3a8+log3a9=log3(a1a2a5a8a9)
=log3(a5)5=5log3a5=
5 |
3 |
5 |
3 |
1 |
3 |
5 |
3 |
故答案为:-
5 |
3 |
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