document.write( "Question 133119: I need help with a couple equation I need to solve concerning logarithms:\r
\n" ); document.write( "\n" ); document.write( "1) $\"ln%28x%2B2%29=lne%5Eln2-lnx\"$ \r
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\n" ); document.write( "\n" ); document.write( "I got that x=0 in this problem...but I am really confuses though \n" ); document.write( "

Algebra.Com's Answer #97379 by Nate(3500) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"ln%28x+%2B+2%29+=+ln%28e%5Eln%282%29%29+-+ln%28x%29\"$
\n" ); document.write( "We need to break this down:
\n" ); document.write( " $\"y+=+ln%28e%5Eln%282%29%29\"$
\n" ); document.write( " $\"e%5Ey+=+e%5Eln%282%29\"$
\n" ); document.write( " $\"y+=+ln%282%29\"$
\n" ); document.write( " $\"ln%28e%5Eln%282%29%29+=+ln%282%29\"$
\n" ); document.write( "So:
\n" ); document.write( " $\"ln%28x+%2B+2%29+=+ln%282%29+-+ln%28x%29\"$
\n" ); document.write( " $\"ln%28x+%2B+2%29+=+ln%282%2Fx%29\"$
\n" ); document.write( " $\"x+%2B+2+=+2%2Fx\"$
\n" ); document.write( " $\"x%5E2+%2B+2x+=+2\"$
\n" ); document.write( " $\"x%5E2+%2B+2x+%2B+1+=+2+%2B+1\"$
\n" ); document.write( " $\"%28x+%2B+1%29%5E2+=+3\"$
\n" ); document.write( " $\"x+%2B+1+=+0%2B-sqrt%283%29\"$
\n" ); document.write( " $\"x+=+-1%2B-sqrt%283%29\"$
\n" ); document.write( "The negative will result with a natural log of a negative, so only the positive term works: $\"x+=+-1%2Bsqrt%283%29\"$ \n" ); document.write( "

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