问题
解答题
等比数列{an}的各项均为正数，且a3a6=8，则log2a1+log2a2+…+log2a8=______．
答案
由等比数列的性质：a1a8=a2a7=a3a6=a4a5=8，
而log2a1+log2a2+…+log2a8=log2a1a2…a8=log284=12
故答案为：12．
搜题请搜索小程序“爱下问搜题”
等比数列{an}的各项均为正数，且a3a6=8，则log2a1+log2a2+…+log2a8=______．
由等比数列的性质：a1a8=a2a7=a3a6=a4a5=8，
而log2a1+log2a2+…+log2a8=log2a1a2…a8=log284=12
故答案为：12．
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| My name is Hector. My birthday is coming. I’m planning to have a birthday party. I’m inviting my friends Peter and Bill. My parents went shopping and bought a lot of delicious food and some drinks yesterday. My birthday is June 9th. My grandpa’s birthday is September 23 rd. He lives with my uncle in America, so I usually send e-card to him on his birthday. Next Sunday is my cousin Julia’s birthday. Julia likes eating strawberries, so I want to buy her some strawberries on her birthday. My grandpa’s birthday is in April. It is very warm and nice in April. So on her birthday, we often go traveling. I believe everybody in my family is giving me a nice present on my birthday this year. I hope I can get a new bike. | ||||||||||
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