Answer: option c.
Step-by-step explanation:
To solve the given exercise and write the expression as a single logarithm, you must keep on mind the following properties:
[tex]m*log(a)=log(a)^m[/tex]
[tex]log(a)-log(b)=log(\frac{a}{b})[/tex]
Therefore, by applying the properties shown above, you can rewrite the expression given, as following:
[tex]2logx-6log(x-9)=logx^2-log(x-9)^6=log(\frac{x^2}{(x-9)^6})[/tex]
Then as you can see, the answer is the option c.
