document.write( "Question 136379: solve lnx +ln(x+3)=1 \n" ); document.write( "

Algebra.Com's Answer #99893 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"lnx+%2Bln%28x+%2B+3%29+=+1\"$
\n" ); document.write( " $\"ln%28x%2A%28x+%2B+3%29%29+=+1\"$
\n" ); document.write( "Let $\"y+=+x%2A%28x%2B3%29\"$
\n" ); document.write( "Rewrite equation as
\n" ); document.write( " $\"ln%28y%29+=+1\"$
\n" ); document.write( "Rewite this as
\n" ); document.write( " $\"e%5E1+=+y\"$
\n" ); document.write( "or
\n" ); document.write( " $\"e+=+x%2A%28x+%2B+3%29\"$
\n" ); document.write( " $\"x%5E2+%2B+3x+=+e\"$
\n" ); document.write( "Complete the square
\n" ); document.write( " $\"x%5E2+%2B+3x+%2B+%283%2F2%29%5E2+=+e+%2B+%283%2F2%29%5E2\"$
\n" ); document.write( " $\"%28x+%2B+%283%2F2%29%29%5E2+=+e+%2B+9%2F4\"$
\n" ); document.write( "take square root of both sides
\n" ); document.write( " $\"x+%2B+%283%2F2%29+=+0+%2B-sqrt%28e+%2B+9%2F4%29\"$
\n" ); document.write( " $\"x+=+-%283%2F2%29+%2B-sqrt%28e+%2B+9%2F4%29\"$ answer
\n" ); document.write( "(unless I goofed) \n" ); document.write( "

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