document.write( "Question 476519: lnx+ln(x-5)=ln6 \n" ); document.write( "
Algebra.Com's Answer #326747 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! lnx+ln(x-5)=ln6 \n" ); document.write( "** \n" ); document.write( "lnx+ln(x-5)-ln6=0 \n" ); document.write( "place under a single log \n" ); document.write( "ln(x(x-5))/6=0 \n" ); document.write( "convert to exponential form:(base(e) raised to log of number(0)=number(x(x-5))/6 \n" ); document.write( "e^0=(x(x-5))/6=1 \n" ); document.write( "x^2-5x=6 \n" ); document.write( "x^2-5x-6=0 \n" ); document.write( "(x-6)(x+1)=0 \n" ); document.write( "x=6 \n" ); document.write( "or \n" ); document.write( "x=-1 (reject, x>0) \n" ); document.write( "Check: \n" ); document.write( "lnx+ln(x-5) \n" ); document.write( "ln(6)+ln(1) \n" ); document.write( "ln(6)+0=ln(6) \n" ); document.write( " |