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    2e^2x=e^x-2 show how to get this value please
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    Make the substitution u=e^x and solve a quadratic equation.
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    2e^2x=e^(x-2)

    sorry but if that was the case i would of done it i wrote it wrong
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    Take ln of both sides to start off with.
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    (Original post by Secreay)
    2e^2x=e^(x-2)

    sorry but if that was the case i would of done it i wrote it wrong
     \displaystyle 2e^{2x}=e^{x-2}

\displaystyle  2e^{2x}=e^xe^{-2} 

\displaystyle  2e^{2x}= \frac{e^x}{e^2}

\displaystyle 2e^{2x}e^2=e^x

    Can you complete it?
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    (Original post by Secreay)
    2e^2x=e^x-2 show how to get this value please
    Is it 2e^(2x)=e^(x-2) or 2e^(2x)=(e^x)-2 or something else
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    (Original post by Secreay)
    2e^2x=e^(x-2)

    sorry but if that was the case i would of done it i wrote it wrong
    Make the equation equal to zero and factorise e^x.
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    If you don't like factorising quadratics you could go this way:

    2e^(2x) = e^(x-2)
    2 X e^x X e^x = e^x X e^-2
    2 X e^x = e^-2
    e^x = 1/2 e^-2
    x = ln (1/2 e^-2)

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