Question

等比数列题 急等比数列{an}中,an＞0.a3×a6=32,则log2a1+loga2+……+log2a8=?

Answer 1

a3×a6=32=2^5=a1a8=a2a7=a4a5

log2a1+loga2+……+log2a8

=log(2)a1a2...a8

=log(2)(2^5)^4

=log(2)2^20

=20