Find the domain `f(x)=sqrt((log_(0.3)|x-2|)/(|x|))`.

Explanation

To find the domain of the function \( f(x) = \sqrt{\frac{\log_{0.3} |x - 2|}{|x|}} \), we need to ensure that the expression inside the square root is non-negative, and that the logarithm is defined.

### Step 1: Ensure the logarithm is defined
The logarithm \( \log_{0.3} |x - 2| \) is defined when \( |x - 2| > 0 \). This implies:
- \( x - 2 > 0 \) or \( x - 2 < 0 \)
- Therefore, \( x \neq 2 \).