The image contains a mathematical problem that asks to find the value of $x$ for the equation:

$\log(x - 2) = 4$

We can solve this step by step.

Step 1: Rewrite the logarithmic equation

Using the property of logarithms, $\log_b(a) = c$ implies that $a = b^c$, where $b$ is the base of the logarithm. Here, the base is assumed to be 10 since it's not specified (common logarithm).

Thus:

$x - 2 = 10^4$

Step 2: Solve for $x$

$x - 2 = 10,000$

Add 2 to both sides:

$x = 10,000 + 2 = 10,002$

However, the available answer choices do not include $x = 10,002$, which suggests there might be a typo or mistake in the problem setup or options.

If you'd like further clarification, or to proceed with similar types of problems, let me know!

Would you like additional details on logarithmic equations?

Here are 5 relative questions to explore further:

1. What are the common properties of logarithms?
2. How does changing the base of a logarithm affect the equation?
3. What are the steps to solve logarithmic equations with different bases?
4. Can logarithmic equations have multiple solutions?
5. What happens if the argument inside a logarithm becomes negative?

Tip: Always check the domain of the logarithmic function (i.e., the argument must be positive).