问题 填空题

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

答案

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

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