document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=434452>Question 434452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you solve the problem log w + log(3w-13) = 1? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300991 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=300991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the problem log w + log(3w-13) = 1<BR>\n" );
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document.write( "log[w(3w-13)] = 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "log[3w^2-13w] = 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "3w^2-13w= 10<BR>\n" );
document.write( "3w^2-13w-10 = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "3w^2-15w+2w-10 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "3w(w-5)+2(w-5) = 0<BR>\n" );
document.write( "(w-5)(3w+2) = 0<BR>\n" );
document.write( "w = 5 or w = -2/3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "w = 5<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );