Which expression is equivalent to logw((x^2-6)^4/(cube root x^2+8))

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)
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