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Math Help - solve for x: log(base e)((x+4)/2)=2e^(x)-4

  1. #1
    Newbie emma's Avatar
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    solve for x: log(base e)((x+4)/2)=2e^(x)-4

    log(base e)((x+4)/2)=2e^(x)-4

    can you please explain how to solve this for x,
    thanks
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by emma View Post
    log(base e)((x+4)/2)=2e^(x)-4

    can you please explain how to solve this for x,
    thanks
    I don't see an analytic solution for this being possible so I'd suggest an iterative method.

    \ln (x+4) - \ln 2 = 2e^x - 4

    4 - \ln 2 = 2e^x - \ln(x+4)

    Wolfram gives approximations of x \approx -3.96 and x \approx 0.895
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  3. #3
    Newbie emma's Avatar
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    oh, maybe im supposed to do it on a calculator then..i don't know what an iterative method is, or what the 'In' means... but thanks anyway
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  4. #4
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by emma View Post
    oh, maybe im supposed to do it on a calculator then..i don't know what an iterative method is, or what the 'In' means... but thanks anyway
    A graphics calculator would work but a standard one wouldn't. Iterative methods are largely finding a rough solution by trial and error, to converge on the answer.

    Also \ln (x) = \log_e(x)
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