问题
选择题
设等比数列{an}中,每项均为正数,且a3a8=81,log3a1+log3a2+…+log3a10等于( )
A.5
B.10
C.20
D.40
答案
∵等比数列{an}中,每项均为正数,且a3a8=81,log3a1+log3a2+…+log3a10 =
=log a1a2 …a103 log (a3a8)53
=5
=5log381=20,log a3a83
故选:C.
设等比数列{an}中,每项均为正数,且a3a8=81,log3a1+log3a2+…+log3a10等于( )
A.5
B.10
C.20
D.40
∵等比数列{an}中,每项均为正数,且a3a8=81,log3a1+log3a2+…+log3a10 =
=log a1a2 …a103 log (a3a8)53
=5
=5log381=20,log a3a83
故选:C.