SOLUTION: Expand : log[(x^2+6x+9)/(x^2-9)] I could really use some help with this.

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Question 409974: Expand : log[(x^2+6x+9)/(x^2-9)]
I could really use some help with this.

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

First let's simplify the argument. We can reduce this fraction if we factor it:

Now we can cancel the common factor:


Now let's expand it. To expand it we will use a property of logarithms, , which allows us to split the log of a quotient into the difference of the logs of the numerator and denominator:


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