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Math Help - Simplifying Equations

  1. #1
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    Simplifying Equations

    Hi,

    I know te following equation simplifies as shown, but how?? I also know I should know this but I don't!

    \frac{ (\ln{x})(4x^3)-(x^4)(1/x)} {(ln{x})^2}


    =  \frac{x^3(4\ln{x}-1)}{(\ln{x})^2}

    Many thanks in advance.
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  2. #2
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    Quote Originally Posted by fathead05 View Post
    Hi,

    I know te following equation simplifies as shown, but how?? I also know I should know this but I don't!

    \frac{ (\ln{x})(4x^3)-(x^4)(1/x)} {(ln{x})^2}


    =  \frac{x^3(4\ln{x}-1)}{(\ln{x})^2}

    Many thanks in advance.
    in the numerator, note that x^4 \cdot \frac{1}{x} = x^3

    therefore ... (\ln{x})(4x^3) - x^3 = x^3(4\ln{x} - 1)
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  3. #3
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    Great, thank you.
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