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Find the value of x

Discussion in 'Jukwaa la Elimu (Education Forum)' started by Mutta, Apr 29, 2012.

  1. Mutta

    Mutta Senior Member

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    2^x = 4x( 2 power x is equal to 4x).Show your working clearly.Any one who can solve it help me.
     
  2. Preta

    Preta JF-Expert Member

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    wapi Kongosho.......mi mgeni sana hapa.....
     
    Last edited by a moderator: Jan 4, 2016
  3. Kang

    Kang JF-Expert Member

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    [​IMG]
     
  4. K

    Kituko JF-Expert Member

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    1) Apply log ya base 10:
    log2^x=log4x
    xlog2=log4+logX
    xlog2=log(4+x)
    x=log(4+x)/log2
    x=(4+x)/2
    2x=4+x
    x=4
     
  5. by default

    by default JF-Expert Member

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    big up mkuu
     
  6. Chakunyuma

    Chakunyuma JF-Expert Member

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    Hapana mkuu cheki vizuri kwenye blue!Ipo hivi
    2[SUP]x[/SUP]=4x
    Apply log base ten
    log(2[SUP]x[/SUP])=log(4x)
    xlog2=log4 +logx
    xlog2=log(2[SUP]2[/SUP]) +logx
    xlog2=2log2 +logx
    xlog2-2log2 =logx
    (x-2)log2 =logx
    x-2=logx/log2
    x-2= x/2
    2x-4 =x
    2x-x =4
    x=4
    Umegundua kosa la kikanuni hapo?
     
  7. NingaR

    NingaR JF-Expert Member

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    OYA logx/log2 ni logx base2 sio logx/2
     
  8. DASA

    DASA JF-Expert Member

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  9. simplemind

    simplemind JF-Expert Member

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    Problem has no exact solution. Can be solved graphically or by numerical methods.


    Graphic solution:

    Draw curve y=2^x and the line y= -4x . Point of intersection of curve and line is the required solution. (lies between x=-1 and x=0)
     
  10. Kang

    Kang JF-Expert Member

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    Hauwezi ku cancel logarithms kihivyo.
     
  11. DASA

    DASA JF-Expert Member

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    Ongezea na hii 3[SUP]X[/SUP]=9X
     
  12. King Kong III

    King Kong III JF-Expert Member

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    Haa mnanikumbusha mabanda yangu ya number.
     
  13. Husninyo

    Husninyo JF-Expert Member

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  14. Mbimbinho

    Mbimbinho JF-Expert Member

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    Last edited by a moderator: Jan 4, 2016
  15. deogan

    deogan JF-Expert Member

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    Hapa naona tu kanuni mpya za log!
     
  16. Msafiri Kasian

    Msafiri Kasian JF-Expert Member

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    Dah! Jamani eeh! Mbona Kang ameshaelezea namna ya kutumia graph kusolve hyo hesabu? Log concept haipandi hapo jamani,mnaotumia log hapo ni Uongo unaofanana na Ukweli. Tumieni graph acheni uvivu watanzania,haya mabishano tunayoyaendeleza hapa,tulishabishana sana tukiwa shule,sasa tuuelewe ukweli tufanye kazi ya kuboresha maisha yetu.
     
    Last edited by a moderator: Jan 4, 2016
  17. Msafiri Kasian

    Msafiri Kasian JF-Expert Member

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    Bg up kaka! Waambie hao,mi nilishaelewa tangu zamani,lakini humu watu hawataki kubadilika.
     
  18. Msafiri Kasian

    Msafiri Kasian JF-Expert Member

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    Bg up kaka Kang! Waambie hao,mi nilishaelewa tangu zamani,lakini humu watu hawataki kubadilika.
     
    Last edited by a moderator: Jan 4, 2016
  19. DASA

    DASA JF-Expert Member

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    Niambie mtaalam, Ndio mana ikabidi niwape ule mtiririko ili wadadavue na kudadavulika wenyewe.
     
  20. Mutta

    Mutta Senior Member

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    hapo kwenye
    x = l(4+x)/log2
    x=4+x/2 sio kweli.there no such a law in logarithms
     
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