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______.
答
q=
=a+log43 a+log23
=a+log83 a+log43
=(a+log43)−(a+log83) (a+log23)−(a+log43)
=log43−log83 log23−log43
=(
−1 2
)log231 3 (1−
)log231 2
.1 3
故答案为
.1 3