问题
选择题
等比数列{an}中,an>0,且a5a6=9,则log3a1+log3a2+…+log3a10=( )
A.12
B.10
C.8
D.6
答案
∵等比数列{an}中,an>0,a5a6=9,
∴a1•a2…a10=(a5•a6)5=310,
∴log3a1+log3a2+…+log3a10=log3310=10.
故选B.
等比数列{an}中,an>0,且a5a6=9,则log3a1+log3a2+…+log3a10=( )
A.12
B.10
C.8
D.6
∵等比数列{an}中,an>0,a5a6=9,
∴a1•a2…a10=(a5•a6)5=310,
∴log3a1+log3a2+…+log3a10=log3310=10.
故选B.