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Math Help - Re-arrange to find x help....

  1. #1
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    Re-arrange to find x help....

    Hey guys having trouble re-arranging this equation to solve for x.

     7.50 = 8.075 + \log\frac{x}{0.0635-x}

    Any help much appreciated! with steps . thank you
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  2. #2
    MHF Contributor alexmahone's Avatar
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    7.50 = 8.075 + \log\frac{x}{0.0635-x}

    \log\frac{x}{0.0635-x}=-0.575

    \frac{x}{0.0635-x}=10^{-0.575}

    \frac{x}{0.0635-x}=0.266

    x=0.0168-0.266x

    1.266x=0.0168

    x=0.0133
    Last edited by alexmahone; June 12th 2009 at 06:29 AM.
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  3. #3
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by alexmahone View Post
     7.50 = 8.075 + \log\frac{x}{0.0635-x}

     \log\frac{x}{0.0635-x}=-0.575

    \frac{x}{0.0635-x}=10^{-0.575}

    \frac{x}{0.0635-x}=0.266

    x=0.0168-0.266x

    1.266x=0.0168

    x=0.0133
    make spaces between [tex][ /math] and [tex][ /math]
    that's better for readers
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  4. #4
    MHF Contributor alexmahone's Avatar
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    Quote Originally Posted by Amer View Post
    make spaces between [tex][ /math] and [tex][ /math]
    that's better for readers
    Thanks for the tip.
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