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To find the x-intercept of the logarithmic function \( F(x) = \log_3 x \), we need to determine the value of \( x \) when \( F(x) = 0 \).

Set the function equal to zero:

\[ \log_3 x = 0 \]

The logarithmic equation \(\log_3 x = 0\) implies that:

\[ 3^0 = x \]

Since \( 3^0 = 1 \):

\[ x = 1 \]

Thus, the x-intercept of the function \( F(x) = \log_3 x \) is \((1, 0)\).

Therefore, the correct answer is:

\[ \boxed{\text{C. } (1, 0)} \]

Would you like more details or have any questions?

Here are five more questions you might find useful to ask:
1. How do you find the x-intercept of any logarithmic function?
2. What is the domain of the function \( F(x) = \log_3 x \)?
3. How do you solve logarithmic equations?
4. What is the relationship between logarithms and exponents?
5. How do you graph the function \( F(x) = \log_3 x \)?

**Tip:** When solving logarithmic equations, always consider the base of the logarithm and use the properties of exponents to simplify your calculations.

Learn how to find the x-intercept of the logarithmic function F(x) = log_3 x using detailed steps and explanations. This problem involves logarithmic equations, properties of logarithms, and exponential relationships. Suitable for high school students.

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