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Math Help - Log q.

  1. #1
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    Log q.


    Can someone post the solution for this please?
    Thanks!
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  2. #2
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    Quote Originally Posted by Detanon View Post

    Can someone post the solution for this please?
    Thanks!
    You need to consider the addition of logs law which is

    \log_ab+\log_ac= \log_a(b\times c)

    In your equation

    \log_a\sqrt{x^2-1}+\frac{1}{2}\log_a\left(\frac{x+1}{x-1}\right)

    \log_a\sqrt{x^2-1}+\log_a\left(\frac{x+1}{x-1}\right)^{\frac{1}{2}}

    now applying the rule you get

    \log_a\left(\sqrt{x^2-1}\times \left(\frac{x+1}{x-1}\right)^{\frac{1}{2}}\right)

    Now finish it by simplifying.
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