题目内容：

等比数列a+log₂3，a+log₄3，a+log₈3的公比是______．

优质解答

q=

a+log43

a+log23

=

a+log83

a+log43

=

(a+log43)−(a+log83)

(a+log23)−(a+log43)

=

log43−log83

log23−log43

=

( 1 2 − 1 3 )log23

(1− 1 2 )log23

=

1

3

．
故答案为

1

3

．