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

Which is 3logx+4log(x-2) written we a single logarithm-example-1
User Subs
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3 votes

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.

User Qwermike
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