Solve `log_2|x-1|<1`

Explanation

To solve the inequality \( \log_2 |x-1| < 1 \), we can follow these steps:

### Step 1: Rewrite the Logarithmic Inequality
The inequality \( \log_2 |x-1| < 1 \) means that the expression inside the logarithm must be less than \( 2^1 \) (since the base of the logarithm is 2). Thus, we can rewrite the inequality as:
\[ |x-1| < 2 \]

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