document.write( "Question 926733: I need to solve this logarithmic equation algebraically please. Round to 3 decimal places. lnx+ln(x+1)=3 \n" ); document.write( "

Algebra.Com's Answer #562420 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The trick is to express $\"+3+\"$
\n" ); document.write( "as a natural log
\n" ); document.write( " $\"+3+=+ln%28+e%5E3+%29+\"$
\n" ); document.write( "-----------------
\n" ); document.write( " $\"+ln%28x%29+%2B+ln%28+x%2B1+%29+=+ln%28+e%5E3+%29+\"$
\n" ); document.write( " $\"+ln%28+x%2A%28+x%2B1+%29%29+=+ln%28+e%5E3+%29+\"$
\n" ); document.write( "Now I can say:
\n" ); document.write( " $\"+x%2A%28+x%2B1+%29+=+e%5E3+\"$
\n" ); document.write( " $\"+x%5E2+%2B+x+-+e%5E3+=+0+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Use quadratic equation
\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( " $\"+c+=+-e%5E3+\"$
\n" ); document.write( " $\"+x+=+%28+-1+%2B-+sqrt%28+1%5E2+-+4%2A1%2A%28-e%5E3%29+%29%29+%2F+%282%2A1%29+\"$
\n" ); document.write( " $\"+x+=+%28+-1+%2B-+sqrt%28+1+%2B+4e%5E3+%29%29+%2F+2+\"$
\n" ); document.write( " $\"+x+=+-1%2F2+%2B+%28+sqrt%28+1+%2B+4e%5E3+%29%29+%2F+2+\"$
\n" ); document.write( " $\"+x+=+-1%2F2++-+%28+sqrt%28+1+%2B+4e%5E3+%29%29+%2F+2+\"$
\n" ); document.write( "Hope I got it
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