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Math Help - Variables in the Exponent

  1. #1
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    Question Variables in the Exponent

    Given: 5^x+2^y = 2^x+5^y = \frac{7}{10}

    Find: (x+y)^{-1}

    We've been covering exponential functions pretty extensively, but I don't have a clue how to start this problem.
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  2. #2
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by fizz View Post
    Given: 5^x+2^y = 2^x+5^y = \frac{7}{10}

    Find: (x+y)^{-1}

    We've been covering exponential functions pretty extensively, but I don't have a clue how to start this problem.
    Notice that \frac{7}{10}=2^{-1}+5^{-1}.
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