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Math Help - How to isolate x in this equation?

  1. #1
    Senior Member
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    Exclamation How to isolate x in this equation?

    Suppose we have this equation:

    $y = 1 + x + \lceil \log_2(x)\rceil$

    where $x$ is an integer > $0$.

    How can we get $x$ as a function of $y$ (basically isolate $x$)? I don't understand how to handle the ceiling and the logarithmic function.

    Thanks.
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  2. #2
    MHF Contributor
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    Re: How to isolate x in this equation?

    Hey Sneaky.

    The short answer is that you can't since multiple values of x map to a single y.

    You can only get an inverse function if you restrict the domain and range to be 1-1 or bijective.
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