document.write( "Question 409974: Expand : log[(x^2+6x+9)/(x^2-9)]
\n" ); document.write( "I could really use some help with this. \n" ); document.write( "
Algebra.Com's Answer #288469 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
\"log%28%28%28x%5E2%2B6x%2B9%29%2F%28x%5E2-9%29%29%29\"
\n" ); document.write( "First let's simplify the argument. We can reduce this fraction if we factor it:
\n" ); document.write( "\"log%28%28%28%28x%2B3%29%28x%2B3%29%29%2F%28x%2B3%29%28x-3%29%29%29\"
\n" ); document.write( "Now we can cancel the common factor:
\n" ); document.write( "\"log%28%28%28cross%28%28x%2B3%29%29%28x%2B3%29%29%2Fcross%28%28x%2B3%29%29%28x-3%29%29%29\"
\n" ); document.write( "\"log%28%28%28x%2B3%29%2F%28x-3%29%29%29\"
\n" ); document.write( "Now let's expand it. To expand it we will use a property of logarithms, \"log%28a%2C+%28p%2Fq%29%29+=+log%28a%2C+%28p%29%29+-+log%28a%2C+%28q%29%29\", which allows us to split the log of a quotient into the difference of the logs of the numerator and denominator:
\n" ); document.write( "\"log%28%28x%2B3%29%29+-+log%28%28x-3%29%29\"
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