The value of `((log)_2 24)/((log)_(96)2)-((log)_2 192)/((log)_(12)2)` is 3 (b) 0 (c) 2 (d) 1

Explanation

To solve the expression \(\frac{\log_2 24}{\log_{96} 2} - \frac{\log_2 192}{\log_{12} 2}\), we can use the change of base formula for logarithms, which states that \(\log_a b = \frac{\log_c b}{\log_c a}\). We will use base 2 for our calculations.

### Step-by-step Solution:

1. **Apply the Change of Base Formula:**
\[ \log_{96} 2 = \frac{\log_2 2}{\log_2 96} = \frac{1}{\log_2 96} \]
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