document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=317034>Question 317034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you write the expression 2 ln x-4 ln (1/y) - 3 ln (xy) as one logarithm? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226972 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=226972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you write the expression 2 ln x-4 ln (1/y) - 3 ln (xy) as one logarithm?<BR>\n" );
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document.write( "2ln(x) -4ln(1/y) - 3ln(xy)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= ln(x^2) - 4[ln(1)-ln(y)] - ln(xy)^3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= ln(x^2) - 4[-ln(y)] - ln(xy)^3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= ln(x^2) + 4ln(y) - ln(xy)^3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= ln(x^2) + ln(y^4) - ln(xy)^3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= ln[x^2*y^4/(x^3*y^3)]<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "= ln[y/x]<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" );