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Math Help - Logarithmic system of equations

  1. #1
    p3rsonman
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    Logarithmic system of equations

    I have the value of x (used my graphing calculator), but I need to be able to show the work. Can anyone give me an idea of what to do here?

    <br />
\log_4 x = 2^{(x-6)}<br />
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by p3rsonman View Post
    I have the value of x (used my graphing calculator), but I need to be able to show the work. Can anyone give me an idea of what to do here?

    <br />
\log_4 x = 2^{(x-6)}<br />

    1. This obviously has two real roots if it has any

    2. Numericaly they are 1.04573 and 6.42411

    3. This may have a closed form solution in terms of the Lambert W function but I will have to look into that.

    4. The inverse symbolic calculator does not recognise either of these (when extended to 11 significant digits).



    RonL
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