document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61747>Question 61747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am lost on this one\r<BR>\n" );
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document.write( "Solve ln(3x+7)+lnx=ln6\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42490 by </B><A HREF=/tutors/aboutme.mpl?userid=jai_kos><B>jai_kos(139)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jai_kos><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=42490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given  ln(3x+7) + lnx =  ln6 <BR>\n" );
document.write( "We know the property ln(a) + ln(b)= ln(ab)<BR>\n" );
document.write( "Therefore, applying the same property, we get<BR>\n" );
document.write( "ln [(3x + 7) * x] = 6<BR>\n" );
document.write( "Remove the \"ln\" on both sides, we get<BR>\n" );
document.write( "(3x + 7) *x = 6<BR>\n" );
document.write( "3x^2 + 7x = 6<BR>\n" );
document.write( "3x^2 + 7x - 6 = 0<BR>\n" );
document.write( "This is a quadratic equation, we shall solve using factorising,<BR>\n" );
document.write( "3x^2 + 9x - 2x - 6 = 0<BR>\n" );
document.write( "3x*(x + 3)- 2 *(x + 3) = 0<BR>\n" );
document.write( "(3x - 2)(3x -2) = 0<BR>\n" );
document.write( "(3x -2) ^2 = 0<BR>\n" );
document.write( "Squaring on both sides, we get<BR>\n" );
document.write( "(3x -2) = 0<BR>\n" );
document.write( "3x = 2<BR>\n" );
document.write( "Divide by 3 on both sides, we get<BR>\n" );
document.write( "x = 2/3<BR>\n" );
document.write( "Hence the value of x = 2/3<BR>\n" );
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