等比数列{an}中,an∈(0,+∞),a3a6=32,则log2(a1)+log2(a2)+……+log2(a8)=

来源:学生作业帮助网 编辑:作业帮 时间:2024/12/02 04:43:34
等比数列{an}中,an∈(0,+∞),a3a6=32,则log2(a1)+log2(a2)+……+log2(a8)=
x){)Ϧnx1:1Ɏ:y::4 tuI4N456y13'?H#PS0~԰ | M["}_`gCxt$өxPpA -4DӁ@&بG[]cKamQ-e&@AUon c8((@F 1<

等比数列{an}中,an∈(0,+∞),a3a6=32,则log2(a1)+log2(a2)+……+log2(a8)=
等比数列{an}中,an∈(0,+∞),a3a6=32,则log2(a1)+log2(a2)+……+log2(a8)=

等比数列{an}中,an∈(0,+∞),a3a6=32,则log2(a1)+log2(a2)+……+log2(a8)=
log2(a1)+ log2(a2)+……+ log2(a8)=log2 (a1×a2×…×a8)
∵等比数列 ∴a1a8=a2a7=a3a6=a4a5=32
∴log2 (a1×a2×…×a8)=log2(32^4)=log2(2^20)=20