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Math Help - The intersection of x and ln(x)^p, where p>1

  1. #1
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    The intersection of x and ln(x)^p, where p>1

    I'm just wondering how I find this intersection,

    <br />
x=(\ln(x)^p) \quad p>1<br />

    where x>2

    I tried to take the logarithm of both sides but I'm not sure which step to take from that, or if that's the right step to begin with.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by Guemo View Post
    I'm just wondering how I find this intersection,

    <br />
x=(\ln(x)^p) \quad p>1<br />

    where x>2

    I tried to take the logarithm of both sides but I'm not sure which step to take from that, or if that's the right step to begin with.
    I assume intersection (just making sure) means solve the equation x=\ln^p(x)\quad p>1. There isn't a closed form solution for this.
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  3. #3
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    Ok, thank you, just wanted to be sure! Think I can manage from now
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