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Math Help - logs

  1. #1
    Junior Member
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    Smile logs

    Let x be a positive real number not equal to 1. Determine the region of the x-1 plane containing the solutions to the inequality :

    Logx(Logx(y^2))>0



    Show your answer as a shaded region.



    Thank you very much! I appreaciate your help!
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  2. #2
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    Which of these is your problem?
    \log \left[ x \right]\log \left[ {x\left( {y^2 } \right)} \right] > 0\,or\,\log _x \left[ {\log _x \left( {y^2 } \right)} \right] > 0

    Or is it something else?
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  3. #3
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    It's the second one Plato. Thank you very much!
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  4. #4
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    \begin{array}{l}<br />
 \log _x (a) > 0\quad  \Rightarrow \quad a > 1 \\ <br />
 \log _x \left( {\log _x \left( {y^2 } \right)} \right) > 0\quad  \Rightarrow \quad \log _x \left( {y^2 } \right) > 1\quad  \Rightarrow \quad y^2  > x > 0 \\ <br />
 \end{array}<br />
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