>
数学
>
在等比数列{a
n
}中,a
4
a
5
=32,log
2
a
1
+loga
2
+…+log
2
a
8
=______.
人气:452 ℃ 时间:2020-04-09 06:34:34
解答
正项等比数列{a
n
}中,
∵log
2
a
1
+log
2
a
2
+…+log
2
a
8
=log
2
[a
1
a
8
•a
2
a
7
•a
3
a
6
•a
4
a
5
]=log
2
(a
4
a
5
)
4
=log
2
32
4
=20,
故答案为:20
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