document.write( "Question 522955: How do I express this as a single logarithm ?
\n" ); document.write( "1/7ln(x + 2)^7 + 1/2(ln x − ln(x2 + 3x + 2)^2)
\n" ); document.write( "

Algebra.Com's Answer #347195 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
How do I express this as a single logarithm ?
\n" ); document.write( "1/7ln(x + 2)^7 + 1/2(ln x − ln(x2 + 3x + 2)^2)
\n" ); document.write( "**
\n" ); document.write( "1/7ln(x + 2)^7 + 1/2(ln x − ln(x2 + 3x + 2)^2)
\n" ); document.write( "=ln[(x + 2)^7]^1/7 + (ln x^(1/2) − ln[(x2 + 3x + 2)^2)]^1/2
\n" ); document.write( "=ln(x+2)+lnx^(1/2)-ln(x^2+3x+2)
\n" ); document.write( "=ln(x+2)+ln[x^(1/2)/(x^2+3x+2)]
\n" ); document.write( "=ln[(x+2)([x^(1/2)/(x^2+3x+2)]
\n" ); document.write( "=ln[(x+2)([x^(1/2)/(x+2)(x+1)]
\n" ); document.write( "=ln[x^(1/2)/(x+1)]
\n" ); document.write( "
\n" );