document.write( "Question 236522: please help me solve this ((( 1/2ln(x+3)-lnx=0 ))) \n" ); document.write( "
Algebra.Com's Answer #174089 by user_dude2008(1862)![]() ![]() ![]() You can put this solution on YOUR website! 1/2ln(x+3)-lnx=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ln((x+3)^(1/2))-ln(x)=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ln(sqrt(x+3))-ln(x)=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ln(sqrt(x+3)/x)=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sqrt(x+3)/x=1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sqrt(x+3)=x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+3=x^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2-x-3=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=1/2+(1/2)*sqrt(13) or x=1/2-(1/2)*sqrt(13)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: Only solution is x = 1/2+(1/2)*sqrt(13) (other is extraneous) \n" ); document.write( " |