If $\log _{10} 2, \log _{10} (2^x + 1), \log _{10} (2^x + 3)$ are in $A.P.,$ then :-

  • A

    $x = 0$

  • B

    $x = 1$

  • C

    $x = \log _{10} 2$

  • D

    $x = \frac{1}{2} \log _2 5$

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