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-   -   Maximal Domains of Logarithmic Hyperbolics (https://www.askmehelpdesk.com/showthread.php?t=412124)

  • Nov 2, 2009, 06:41 PM
    Serious Student
    Maximal Domains of Logarithmic Hyperbolics
    K here is an example question (there are 4 in total but I only need to learn how to do one then I can do the rest):

    ln(cosh x)

    I have to find the largest possible domain for this.

    Now I was told that Hyperbolics are similar to exponentials, and Inverse Hyperbolics are similar to Natural Logarithms. Here I have Ln and a normal Hypberbolic, so I don't think this helps me much.

    If I look on the graph of cosh x, I can see that the minimum range is 1 < y < infinity.
    The Domain is all real values of x.

    Lastly, I know that cosh x is in fact and exponential function in the form: 0.5(e^x + e^-x)

    I cannot simply take ln's of both sides because there is a half blocking the way :s...

    Any ideas on how to tackle this problem guys? I don't want the answer, just what I need to know and tactics to solve this problem.

    Please advise
  • Nov 3, 2009, 06:23 AM
    Serious Student

    Please close, question was answered.

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