Question

Which is 2logx-6log(x-9) written as a single logarithm

Answer 1

c on edge 2021

Explanation:

took the test :)

Answer 2

Answer: option c.

Explanation:

To solve the given exercise and write the expression as a single logarithm, you must keep on mind the following properties:

`m*log(a)=log(a)^m`

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

Therefore, by applying the properties shown above, you can rewrite the expression given, as following:

`2logx-6log(x-9)=logx^2-log(x-9)^6=log((x^2)/((x-9)^6))`

Then as you can see, the answer is the option c.