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Math Help - Positive Value of x

  1. #1
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    Positive Value of x

    What is a positive value of x for which 9^(-cos x) = 1/3?

    NOTE: The (-cos x) is the exponent in this case.
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by magentarita View Post
    What is a positive value of x for which 9^(-cos x) = 1/3?

    NOTE: The (-cos x) is the exponent in this case.
    I'll nudge you in the right direction:

    9^{-\cos(x)}=\frac{1}{3}

    Note that \frac{1}{3}=3^{-1} and 9=3^2

    So we can rewrite the equation as this: 3^{-2\cos(x)}=3^{-1}

    I'm sure you can take it from here.

    --Chris
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  3. #3
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    yes.....

    Quote Originally Posted by Chris L T521 View Post
    I'll nudge you in the right direction:

    9^{-\cos(x)}=\frac{1}{3}

    Note that \frac{1}{3}=3^{-1} and 9=3^2

    So we can rewrite the equation as this: 3^{-2\cos(x)}=3^{-1}

    I'm sure you can take it from here.

    --Chris
    Yes, I can. Thank you.
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