Can someone with this trig question?

First we must understand how to write a logarithmic function:



In the equation above, b is the base, x is the exponent, and a is the answer. These same variables can be rearranged to be expressed as an exponential equation as followed:



Next, we need to understand basic logarithm rules.

1. When a value is raised to a power, we can move the exponent to the front of the logarithm. Example:

log(a^2) = 2log(a)

2. When two variables are multiplied together, we can add the logarithms of the individual variables together. Example:

log(ab) = log(a) + log(b)

3. When a variable is divided by another variable, we can subtract the logarithms of the individual variables. Example:

log(a/b) = log(a) - log(b)

Now we can use these rules to solve the problem.



We can rewrite the cube root as:



Now we can move  the one-third to the front:



Now we can split up the logarithm:



Finally, we can move the exponent to the front of the log of A:



Distribute the one-third to get the



The answer is (4).