Answer: option a.
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]log(a)+log(b)=log(ab)\\m*log(a)=log(a)^m[/tex]
Therefore, by applying the properties shown above, you can rewrite the expression given, as following:
[tex]3logx+4log(x-2)=logx^3+log(x-2)^4=logx^3(x-2)^4[/tex]
Then, the answer is the option a.
