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CAT 2003 | Question: 1-140

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if $\log_3\left(2^x - 5\right), \: \log_3\left(2^x  - \frac{7}{2}\right)$ are in arithmetic progression, then the value of $x$ is equal to

  1. $5$
  2. $4$
  3. $2$
  4. $3$

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