document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=424435>Question 424435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> loga x + loga(x-2)=loga3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295880 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=295880\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve:logax+loga(x-2)=loga3\r<BR>\n" );
document.write( "\n" );
document.write( "      loga x(x-2)=loga 3\r<BR>\n" );
document.write( "\n" );
document.write( "        x(x-2)=3\r<BR>\n" );
document.write( "\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x-3=0 ALIGN=MIDDLE  ALT=\"x%5E2-2x-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a quadratic equation, which can be written:\r<BR>\n" );
document.write( "\n" );
document.write( "      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%2A%28x-3%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%2A%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "x+1=0 => x=-1 and x-3=0 => x=3 The roots are {-1, 3}\r<BR>\n" );
document.write( "\n" );
document.write( "Since the logarithm of negative numbers doesn't exist the value x=-1 is rejected.\r<BR>\n" );
document.write( "\n" );
document.write( "  Answer.The solution set is {x: x=3} </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );