问题
选择题
已知正项等比数列{an}中,a4•a5=8,则log2a1+log2a2+…+log2a8的值为( )
A.8
B.12
C.64
D.4096
答案
正项等比数列{an}中,
∵log2a1+log2a2+…+log2a8 =log2[a1a8•a2a7•a3a6•a4a5]=log2(a4a5)4
=log284=log2212=12,
故选B.
已知正项等比数列{an}中,a4•a5=8,则log2a1+log2a2+…+log2a8的值为( )
A.8
B.12
C.64
D.4096
正项等比数列{an}中,
∵log2a1+log2a2+…+log2a8 =log2[a1a8•a2a7•a3a6•a4a5]=log2(a4a5)4
=log284=log2212=12,
故选B.