document.write( "Question 1094746: could you please help me express this as a single logarithm
\n" ); document.write( "I don't know how to approach the 1/5 and the exponent 5\r
\n" ); document.write( "\n" ); document.write( "1/5 ln(x + 2)^5 + 1/2 [ln(x) − ln(x^2 + 3x + 2)^2]
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Algebra.Com's Answer #709371 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
1/5 ln(x + 2)^5 + 1/2 [ln(x) − ln(x^2 + 3x + 2)^2]
\n" ); document.write( "The 1/5 just cancels the exponent 5.
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\n" ); document.write( "= ln(x + 2) + 1/2 [ln(x) − ln(x^2 + 3x + 2)^2]
\n" ); document.write( "= ln(x + 2) + 1/2ln(x) − ln(x^2 + 3x + 2)
\n" ); document.write( "= ln(x + 2) + 1/2ln(x) − ln[(x + 2)*(x + 1)]
\n" ); document.write( "= ln(x + 2) + 1/2ln(x) − ln(x + 2) - ln(x + 1)
\n" ); document.write( "= 1/2ln(x) - ln(x + 1)
\n" ); document.write( "= ln(sqrt(x)) - ln(x + 1)
\n" ); document.write( "= \"ln%28sqrt%28x%29%2F%28x%2B1%29%29\"
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