log problem solving

log(1/3)(log3(x))=1

Solve x

___________________________

1/3同3都係log下面

更新:

其實我都計到呢個(3^1/3),但用計數機左方就變唔返1......

4 個解答

評分
  • 7 年前
    最愛解答

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

    http://i1099.photobucket.com/albums/g395/jasoncube...

    2013-06-24 16:53:22 補充:

    There's something wrong with you calculator?

    資料來源: My Maths World
  • 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>.<)

    資料來源: 下......我數學嘅累積知識掛~
  • 7 年前

    正確的,你應該按

    log[ log(3^1/3) / log(3)] / log(1/3)

    那答案是 1 。

  • Tony
    Lv 4
    7 年前

    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

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