1.

. If \[{{\log }_{3}}2,\ {{\log }_{3}}({{2}^{x}}-5)\] and \[{{\log }_{3}}\left( {{2}^{x}}-\frac{7}{2} \right)\] are in A.P., then \[x\] is equal to [IIT 1990]

A. \[1,\ \frac{1}{2}\]
B. \[1,\ \frac{1}{3}\]
C. \[1,\ \frac{3}{2}\]
D. None of these
Answer» E.


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