If \( \log 2, \log \left(2^{x}-1\right) \) and \( \log \left(2^{x}+3\right) \) are in \( A P \),...

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If \( \log 2, \log \left(2^{x}-1\right) \) and \( \log \left(2^{x}+3\right) \) are in
\( A P \), then the value of \( x \) is given by
(A) \( 5 / 2 \)
(B) \( \log _{2} 5 \)
(C) \( \log _{3} 5 \)
(D) \( \log _{5} 3 \)
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