Question

Which is 3logx+4log(x-2) written we a single logarithm

Answer 1

Answer: option a.

Explanation:

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

`log(a)+log(b)=log(ab)\\m*log(a)=log(a)^m`

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

`3logx+4log(x-2)=logx^3+log(x-2)^4=logx^3(x-2)^4`

Then, the answer is the option a.