(i）Express x√x in index form.
(ii) Simplify (logx√x+3logy)/3
(iii) Simplify {9 log(√x) y}/
（logx√x+3logy）
中5數學 急！！
2010-04-24 6:08 am
回答 (1)
2010-04-24 9:50 pm
✔ 最佳答案
i) x√x = (x^1)(x ^ 1/2) = x ^ (1 + 1/2)
= x ^ 3/2
ii) (logx√x+3logy)/3
= (log (x ^ 3/2) + log y^3) / 3
= (1/3) log [(x ^3/2)(y^3)]
= log [(x ^3/2)(y^3)] ^ 1/3
= log [(x ^ 1/2)y]
= log (√x y)
iii) {9 log(√x) y}/
（logx√x+3logy）
= {9 log(√x) y} / { 3 log (√x y) }..............By (ii)
= 3
收錄日期: 2021-04-21 22:09:36
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100423000051KK01579