问题
选择题
在各项都为正数的等比数列{an}中,若a5•a6=9,则log3a1+log3a2+log3a3+…+log3a10等于( )
A.8
B.10
C.12
D.2+log35
答案
∵log3a1+log3a2+log3a3+…+log3a10
=log3a1•a2…a10
=log3(a5•a6)5=10
故选B
在各项都为正数的等比数列{an}中,若a5•a6=9,则log3a1+log3a2+log3a3+…+log3a10等于( )
A.8
B.10
C.12
D.2+log35
∵log3a1+log3a2+log3a3+…+log3a10
=log3a1•a2…a10
=log3(a5•a6)5=10
故选B