document.write( "Question 924629: ln(x-1)+ln(x+2)=1 \n" ); document.write( "
Algebra.Com's Answer #561016 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+ln%28+x-1+%29+%2B+ln%28+x%2B2+%29+=+1+\"
\n" ); document.write( "\"+ln%28+%28x-1+%29%2A%28+x%2B2+%29+%29+=+ln%28+e+%29+\"
\n" ); document.write( "\"+%28+x-1+%29%2A%28+x%2B2+%29+=+e+\"
\n" ); document.write( "\"+x%5E2+-+x+%2B+2x+-+2+=+e+\"
\n" ); document.write( "\"+x%5E2+%2B+x+-+%28+2+%2B+e+%29+=+0+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "\"+x+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+b+=+1+\"
\n" ); document.write( "\"+c+=+-2+-e+\"
\n" ); document.write( "---------------
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+x+=+%28-1+%2B-+sqrt%28+1%5E2+-+4%2A1%2A%28-2-e%29+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+x+=+%28-1+%2B-+sqrt%28+1+%2B+8+%2B+4%2Ae+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28-1+%2B-+sqrt%28+9+%2B+4%2Ae+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28-1+%2B-+sqrt%28+9+%2B+10.8731+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28-1+%2B-+sqrt%28++19.8731+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28-1+%2B-+4.4579%29+%2F+2+\"
\n" ); document.write( "\"+x+=+3.4579+%2F+2+\"
\n" ); document.write( "\"+x+=+1.729+\"
\n" ); document.write( "and
\n" ); document.write( "\"+x+=+%28+-5.4579%29+%2F+2+\"
\n" ); document.write( "\"+x+=+-2.729+\"
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+ln%28+x-1+%29+%2B+ln%28+x%2B2+%29+=+1+\"
\n" ); document.write( "\"+ln%28+1.729-1+%29+%2B+ln%28+1.729%2B2+%29+=+1+\"
\n" ); document.write( "\"+ln%28+.729+%29+%2B+ln%28+3.729+%29+=+1+\"
\n" ); document.write( "\"+-.31608+%2B+1.31614+=+1+\"
\n" ); document.write( "\"+1.00006+=+1+\"
\n" ); document.write( "close enough
\n" ); document.write( "You can check the other root\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );