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Math Help - Transposition involving exponential equation

  1. #1
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    Transposition involving exponential equation

    Hi i having some difficulty in transpoing the below formula
    the question asks me to Change the subject of the formula to E



    ..........Pie E
    P = e √1- EČ



    Many Thanks

    Richard
    Last edited by ric115; April 26th 2009 at 10:38 AM. Reason: Make formula clearer
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  2. #2
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    Transposing exponential equation

    Heres the formula again as it wasnt very clear before

    Pie E
    P = e √1- EČ

    The question asks me to make the subject E


    Many Thanks

    Richard
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  3. #3
    MHF Contributor
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    Talking

    Quote Originally Posted by ric115 View Post
    [LEFT]
    Pie E
    P = e √1- EČ
    I will guess that you mean the following:

    . . . . . P\, =\, \frac{\pi e E}{e\sqrt{1\, -\, E^2}}

    If so, then a good first step would be to cancel off the common factor of "e" (from the "pi times e times E" in the numerator and the "e" in front of the radical in the denominator). Then multiply through by the denominator, and square both sides to get rid of the radical. Multiply things out to get:

    . . . . . P^2\, -\, P^2 E^2\, =\, {\pi}^2 E^2

    Add the P^2 E^2 to the right-hand side, factor out the E^2, and divide through by P^2\, +\, {\pi}^2. Then take the square root of each side, remembering the "plus, minus" on the left-hand side.

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  4. #4
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    Hi thank you for the fast response unfortunelty i have not made it clear on my formula sorry about that. it should have said


    Pi E
    P = e √1- EČ

    minus the e
    Once again i do apolagise

    Richard
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