Answer:
It is the third option
Step-by-step explanation:
ln(xy)=ln(x)+ln(y)
ln(x/y)=ln(x)−ln(y)
ln(xy)=yln(x)
use these three rules, first separate the fraction out to log([tex]\log (x^2-6)^4 - \log \sqrt[3]{x^2+8}[/tex] , then take the exponent and root out to make [tex]4\log (x^2-6)- \frac{1}{3} \log x^2+8[/tex]
Answer:
C
Step-by-step explanation:
[tex]log_{w} \frac{(x^2-6)^4}{\sqrt[3]{x^2+8} } = log_{w}(x^2-6)^4-log_{w}(x^2+8)^\frac{1}{3}=\\ \\=4log_{w}(x^2-6)-\frac{1}{3}log_{w}(x^2+8)[/tex]
