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Math Help - logarithim question

  1. #1
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    logarithim question

    not sure how i go about solving this

    determine the point(s) of intersection of the functions f(x)=logx and g(x) = \frac{1}{2}log(x+1)
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  2. #2
    MHF Contributor red_dog's Avatar
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    You have to solve the equation f(x)=g(x).

    \log x=\frac{1}{2}\log(x+1)

    2\log x=\log(x+1)\Rightarrow \log x^2=\log(x+1)\Rightarrow x^2=x+1

    Now solve the quadratic and take only the positive root.
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