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Math Help - Equation with negative variable exponent giving me trouble

  1. #1
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    Equation with negative variable exponent giving me trouble

    How would this be worked out if there was a negative exponent of x? Lets say:

    3x - 4 * 3-x > 0

    It seems as if I put those into logs, it would turn into

    x log 3 + (-x)log 3 > log 4

    Would that be the correct way of doing it? Because that looks like the two x log 3 groups should cancel each other out. Even if I use x log 1/3, wouldnt that then be x log (3)(1/3) and just become log 1, which would be log 0?
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  2. #2
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    Re: Equation with negative variable exponent giving me trouble

    Quote Originally Posted by Latsabb View Post
    How would this be worked out if there was a negative exponent of x? Lets say:

    3x - 4 * 3-x > 0
    Multiply by 3^{-1} and you get 9^x-4>0.
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