If `log2,log(2^x-1),log(2^x+3)` are in A.P., write the value of `xdot`

Explanation

To solve the problem, we need to find the value of \( x \) such that \( \log 2, \log(2^x - 1), \log(2^x + 3) \) are in Arithmetic Progression (A.P.).

### Step-by-step Solution:

1. **Understanding A.P. Condition**:
In an A.P., the middle term is the average of the other two terms. Therefore, we can write:
\[
2 \log(2^x - 1) = \log 2 + \log(2^x + 3)
...