The set of all possible values of \( x \) for which 13 is the A.M. of \( 5^{1+x} \) and \( 5^{1-...

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The set of all possible values of \( x \) for which 13 is the A.M. of \( 5^{1+x} \) and \( 5^{1-x} \), is
(A) \( 5, \frac{1}{5} \)
(B) \( \{-1,1\} \)
(C) \( \{0,1\} \)
(D) none of these
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