Which expression is equivalent to log w (x2-6) 4

Log w (x^2-6) ^4

Using log a b = log a + log b, with a=w and b = (x^-6) ^4:

log w (x^2-6) ^4 = log w + log (x^2-6) ^4

Using in the second term log a^b = b log a, with a=x^2-6 and b=4

log w (x^2-6) ^4 = log w + log (x^2-6) ^4 = log w + 4 log (x^2-6)

Then, the answer is:

log w (x^2-6) ^4 = log w + 4 log (x^2-6)

The answer is c just took the test if the question includes a bottom half with a square root, if not just ignore me