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Math Help - Problem with logs

  1. #1
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    Problem with logs

    I need the solution to the problem:

    log2 ((x^2)+1)-log4 (x^2) = 1

    It gives me a hint to change log4 (x^2) to base 2, but I'm not sure how to go about doing that.
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  2. #2
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    Quote Originally Posted by ceasar_19134 View Post
    I need the solution to the problem:

    log2 ((x^2)+1)-log4 (x^2) = 1

    It gives me a hint to change log4 (x^2) to base 2, but I'm not sure how to go about doing that.
    A clearer hint:
    \log_4 {x} = \frac{\log x}{\log 4} = \frac{\log x}{2\log 2} = \frac{\log_2{x}}{2}

    Now you can rewrite everything in terms of log_2. Complete it
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