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Math Help - A problem with fractional indices

  1. #1
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    A problem with fractional indices

    I tried to solve the following problem

    x^{\frac{1}{2}}=2x^\frac{3}{4}


    I tried raising the left hand side to the second power in order to mkae the left hand side x.


    But I still couldn't solve it.










    Could someone please help me?






    Thank you!
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  2. #2
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    Quote Originally Posted by Coach View Post
    I tried to solve the following problem

    x^{\frac{1}{2}}=2x^\frac{3}{4}


    I tried raising the left hand side to the second power in order to mkae the left hand side x.


    But I still couldn't solve it.










    Could someone please help me?






    Thank you!
    x^{\frac{1}{2}}=2x^\frac{3}{4}

    Try raising it to the 4th power instead:
    \left ( x^{\frac{1}{2}} \right )^4 =  \left ( 2x^\frac{3}{4} \right ) ^4

    x^2 = 2^4 x^3

    and go from there.

    Hint: When you have an equation with a fractional denominator n/m, raise both sides of the equation to the mth power.

    -Dan
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