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Math Help - Log squared

  1. #1
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    Log squared

    What is (\log_2 x)^2? Is it (\log_2 x)(\log_2 x)?

    Does (\log_2 x)(\log_2 x)=\log_2 2x?
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  2. #2
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    Quote Originally Posted by chengbin View Post
    What is (\log_2 x)^2? Is it (\log_2 x)(\log_2 x)? yes

    Does (\log_2 x)(\log_2 x)=\log_2 2x? no ... \textcolor{red}{\log_2(2x) = \log_2(2) + \log_2(x) = 1 + \log_2(x)}
    ...
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  3. #3
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    Then can you simplify (\log_2 x)^2?
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  4. #4
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    Quote Originally Posted by chengbin View Post
    Then can you simplify (\log_2 x)^2?
    No
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