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Exponential equation

  1. Jan 16, 2013 #1
    1. The problem statement, all variables and given/known data
    5^( \sqrt(x) ) + 5 * 5^(- \sqrt(x) ) = 25 + 1/5

    2. The attempt at a solution

    I have thought to transform 5^ (-\sqrt(x) ) in (1/5)^(\sqrt(x) ) but I don't know how to solve then... could you help me ?

    thank you
  2. jcsd
  3. Jan 16, 2013 #2


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    Science Advisor
    Homework Helper

    That's a good idea. So if u=5^(sqrt(x)) then 5^(-sqrt(x)) equals 1/u. Solve for u first.
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