document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=28564>Question 28564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x:<BR>\n" );
document.write( "log(3x+7)+log(x-2)=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15560 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15560\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log(3x+7)+log(x-2)=1<BR>\n" );
document.write( "log{(3x+7)*(x-2)}=1...SINCE LOG(XY)=LOG(X)+LOG(Y)..NOW TAKING ANTILOGS..WE GET<BR>\n" );
document.write( "(3x+7)(x-2)=10....SINCE LOG(10)=1<BR>\n" );
document.write( "3X^2-6X+7X-14-10=0<BR>\n" );
document.write( "3X^2+X-24=0<BR>\n" );
document.write( "3X^2+9X-8X-24=0<BR>\n" );
document.write( "3X(X+3)-8(X+3)=0<BR>\n" );
document.write( "(3X-8)(X+3)=0<BR>\n" );
document.write( "3X-8=0...OR...X=8/3....<BR>\n" );
document.write( "X+3=0..OR...X=-3...BUT THIS LEADS TO LOG OF NEGATIVE NUMBERS WHICH DO NOT EXIST.HENCE <BR>\n" );
document.write( "X=8/3 IS THE SOLUTION </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );