If (log 2)/(log a)=p and (log 3)/(log a)=q, then a^(p+q)=?
ans:6
要步驟~
log數~要步驟~
2010-04-17 4:22 am
回答 (2)
2010-04-17 4:31 am
✔ 最佳答案
(log 2)/(log a)=p log 2 = p log a
log 2 = log (a^p)
2 = a^p ......(1)
(log 3)/(log a)=q
log 3 = q log a
log 3 = log (a^q)
3 = a^q ......(2)
(1) * (2) :
2*3 = (a^p)(a^q)
6 = a^(p+q)
2010-04-17 4:33 am
(log 2)/(log a)=p
log(a) 2 = p
a^p=2_______(1)
(log 3)/(log a)=q
log(a) 3 = q
a^q=3_______(2)
(1)×(2): a^(p+q)=6
log(a) 2 = p
a^p=2_______(1)
(log 3)/(log a)=q
log(a) 3 = q
a^q=3_______(2)
(1)×(2): a^(p+q)=6
收錄日期: 2021-04-21 22:09:25
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100416000051KK01265