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.