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Math Help - determine exact range

  1. #1
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    determine exact range

    Sketch the graph y=\frac{x^3}{e^{ax}}, hence determine the exact range of values of a for which the equation x^3=e^{ax}

    x^3=e^{ax}

    \frac{x^3}{e^{ax}}=1

    y=1
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  2. #2
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    Re: determine exact range

    That's a good start. I'm concered that the exponential is never zero or negative, quite unlike the other piece.
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  3. #3
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    Re: determine exact range

    Your question isn't stated clearly. Are you asking for what values of a is 1 is in the range of y? If so, graphing is not the way to do this. Better to differentiate to locate global extrema.
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