Which of the following pairs of expression are defined for the same set of values of `x` ? `f_1(x)=2(log)_2xa n df_2(x)=(log)_(10)x^2` `f_1(x)=(log)_xx^2a n df_2(x)=2` `f_1(x)=(log)_(10)(x-2)+(log)_(10)(x-3)a n df_(2(x))=(log)_(10)(x-2)(x-3)dot`

Explanation

To determine which of the given pairs of expressions are defined for the same set of values of \( x \), we will analyze each pair one by one.

### Pair 1:
1. **Expressions**:
- \( f_1(x) = 2 \log_2 x \)
- \( f_2(x) = \log_{10} x^2 \)

2. **Conditions for \( f_1(x) \)**:
...