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Math Help - solve exponential equation

  1. #1
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    solve exponential equation

     3^{x} + 6561 \times 3^{-x} = 162

    I reallydont know how to go about this, any help appreciated.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: solve exponential equation

    Since 0<3^x for all real x, multiply the equation by this value to obtain a quadratic in 3^x.
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