document.write( "Question 24553: How would i solve this natural log in this equation: ln(x+1)=ln(3x+1)-ln(x)...thanks \n" ); document.write( "

Algebra.Com's Answer #13799 by venugopalramana(3286) $\"\"$ $\"About$

You can put this solution on YOUR website!
ln(x+1)=ln(3x+1)-ln(x)..
\n" ); document.write( "USING LN (A*B)=LN A + LN B ....AND
\n" ); document.write( "LN (A/B)=LN A - LN B......WE GET
\n" ); document.write( "LN (X+1)=LN {(3X+1)/X}
\n" ); document.write( "TAKING ANTI LOGS...
\n" ); document.write( "X+1=(3X+1)/X
\n" ); document.write( "X(X+1)=3X+1
\n" ); document.write( "X^2+X=3X+1
\n" ); document.write( "X^2+X-3X-1=0
\n" ); document.write( "X^2-2X-1=0
\n" ); document.write( "THE SOLUTION OF AX^2+BX+C=0 IS GIVEN BY
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$ .HENCE
\n" ); document.write( " $\"x+=+%282+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-1%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%282+%2B-+sqrt%28+4%2B4+%29%29%2F2+\"$
\n" ); document.write( " $\"x+=+%282+%2B-+sqrt%28+8+%29%29%2F2+\"$
\n" ); document.write( " $\"x+=+%282+%2B-2%2Asqrt%282%29%29%2F2+\"$
\n" ); document.write( " $\"x+=+%281+%2Bsqrt%282%29%29+\"$ AS X CANNOT BE NEGATIVE FOR LN X TO BE REAL \n" ); document.write( "

\n" );