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Solve a^(x+p) + a^(q-x) = c for x

The same question, asked 2 times: CDS 1 2017*, CDS 2 2019. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2017

    29
    The values of xx which satisfy the equation 51+x+51−x=265^{1+x} + 5^{1-x} = 26 are

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  2. Question 2

    CDS 2 2019

    12
    Which of the following pair of numbers is the solution of the equation 3x+2+3−x=103^{x + 2} + 3^{-x} = 10 ?

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