Maths

圖片參考：http://i1096.photobucket.com/albums/g340/pingshek/2013-10-31_zps994d436f.png


http://i1096.photobucket.com/albums/g340/pingshek/2013-10-31_zps994d436f.png

好似上面個個，請回答

2013-10-31 01:25:59 補充：
係 log base x root y over log base y root x

唔知有冇得簡化呢

2013-10-31 02:00:41 補充：
謝謝你的詳細幫忙，衷心感激。

又係呢ｄ尷尬位～

我搞唔清個ｄ括號和分子分母好難答你～

係咪指：

[ log(x) √y ] / [log(y) √x] ?

2013-10-30 23:47:14 補充：
定係

{ log[ (x)√y ] } / { log [(y)√x ] } ?

2013-10-31 00:13:25 補充：
如果是　[ log(x) √y ] / [log(y) √x]

那應該不能化簡吧？


正如 log(a)/log(b) 也不能再化簡～
〔若你寫成 log_{base b} (a) 則不算〕

2013-10-31 01:49:08 補充：
咁就ok~

log {base x} (√y) / log {base y} (√x)

= [(0.5) log {base x} (y)] / [(0.5) log {base y} (x) ]

= [log {base x} (y)] / [ log {base y} (x) ]

= [log(y) / log(x)] / [ log(x) / log(y) ]

= [log(y) / log(x)]²

= [log {base x} (y)]²

2013-10-31 02:03:28 補充：
Cheers~!!!!!!