Answer:
B. x = 4
Step-by-step explanation:
I can't speak to the first part of this question, as I don't totally have context for what they're asking, but we <em>can </em>solve for x using one of the laws of logarithms, namely:

Using this law, we can combine and rewrite our initial equation as

Remember that logarithms are simply another way of writing exponents. The logarithm
is just another way of writing the fact
. Keeping that in mind, we can express our logarithm in terms of exponents as

2³ = 8, so we can replace the left side of our equation with 8 to get

Moving the 8 to the other side:

We can now factor the expression on the right to find solutions for x:

The only option which agrees with our solution is B.