document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83289>Question 83289</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the logarithmic equation and express irrational solutions in lowest radical form.<BR>\n" );
document.write( "log (x+9) = log (6) - log (3x-27).<BR>\n" );
document.write( "I appreciate any assistance with this!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59813 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log (x+9) = log (6) - log (3x-27).<BR>\n" );
document.write( "log (x+9) = log[6/(3x-27)]<BR>\n" );
document.write( "Take the anti-log of both sides to get:<BR>\n" );
document.write( "x+9 = 6/(3x-27)<BR>\n" );
document.write( "x+9 = 2/(x-9)<BR>\n" );
document.write( "x^2-81=2<BR>\n" );
document.write( "x^2-83=0<BR>\n" );
document.write( "x= sqrt83 is the only solution<BR>\n" );
document.write( "x=-sqrt83 results in taking the log of a negative number<BR>\n" );
document.write( "which does not exist.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );