等比数列a+log23,a+log43,a+log83的公比是_.

问题描述:

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

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