log problem solving

圖片參考：http://i1099.photobucket.com/albums/g395/jasoncube/672A547D540D_zps67317fbc.png


http://i1099.photobucket.com/albums/g395/jasoncube/672A547D540D_zps67317fbc.png

2013-06-24 16:53:22 補充：
There's something wrong with you calculator?

路過的我實在要提提你,用計數機篤到嘅log係〖log〗_10,唔可以係其他!!
做數要噤:
〖log〗_(1/3)(〖log〗_3(x) )=1
〖log〗_3 (x)=(1/3)^(1)
x=3^(1/3)
x=∛3
所以要check數就要噤:
Subx=∛3,
〖log〗_(1/3)(〖log〗_3(x) )
=〖log〗_(1/3)(〖log〗_3(∛3) )
=〖log〗_(1/3)(〖log〗_3(3^(1/3)) )
=〖log〗_(1/3)(1/3 X〖log〗_3(3) )
∵〖log〗_3(3)=1
∴〖log〗_(1/3)(1/3 X〖log〗_3(3) )
=〖log〗_(1/3)(1/3 X 1 )
∵〖log〗_(1/3) (1/3)=1
∴〖log〗_(1/3)(1/3 X 1 )
=1
僅記計數機篤5到〖log〗_2(2)=1, 但篤到〖log〗_10(10)=1,計數機嘅log底數永遠係10,所以轉base嗰條式就係用黎協助你計log底數5係10嘅數。

(原本喺Word打到〖log〗_(1/3)個樣,貼上黎就變左-_-" ......
如果可上載圖片，我會寫得好D俾你架>.<)

正確的，你應該按
log[ log(3^1/3) / log(3)] / log(1/3)
那答案是 1 。

即係係將x=3^1/3代入log(1/3)(log3(x))出唔到1?
我按到
方法:
[log(3^1/3) / log(3)] / log(1/3) = 1