问题
填空题
{an}是等比数列,an>0,a3a6a9=4,则log2a2+log2a4+log2a8+log2+a10=______.
答案
{an}是等比数列,an>0,a3a6a9=a63=4,
∴a6=2
,即log2(a6)=2 3 2 3
∴log2a2+log2a4+log2a8+log2a10
=log2(a2?a4?a8?a10)
=log2(a32?a92)
=log2(a64)
=4log2(a6)
=8 3
故答案为:8 3