document.write( "Question 607150: solve log x+log(x+21)=2 \n" ); document.write( "
Algebra.Com's Answer #382442 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! log(x) + log(x+21) = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "log(x(x+21)) = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "log(x^2+21x) = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2+21x = 10^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2+21x = 100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2+21x-100 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x-4)(x+25) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-4=0 or x+25=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=4 or x=-25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Throw out the negative solution since you can't take the log of a negative number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the only solution is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------------------------------------------------------------- \n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( "-------------------------------------------------------------------------------------------------------------- \n" ); document.write( " |