The domain of the function `f(x)=log_(10)x` is :

Options

A. `-ooltxltoo`
B. `0ltxltoo`
C. `0lexltoo`
D. none of these

Answer

To find the domain of the function \( f(x) = \log_{10} x \), we need to determine the values of \( x \) for which the function is defined.

### Step-by-Step Solution:

1. **Understanding the Logarithmic Function**:
The logarithmic function \( \log_{10} x \) is defined only for positive values of \( x \). This is because the logarithm of zero or a negative number is undefined.

2. **Setting Up the Inequality**:
To find the domain, we set up the inequality:
\[ x > 0 \]

3. **Expressing the Domain in Interval Notation**:
The solution to the inequality \( x > 0 \) means that \( x \) can take any positive value. Therefore, we can express the domain in interval notation as:
\[ (0, \infty) \]

4. **Conclusion**:
The domain of the function \( f(x) = \log_{10} x \) is \( (0, \infty) \).

### Final Answer:
The domain of the function \( f(x) = \log_{10} x \) is \( (0, \infty) \).

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