document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=670545>Question 670545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the expression as one logarithm: 2 log (y^3/x) - 3 log (y) + 1/2 log x^4y^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416980 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=416980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the expression as one logarithm: <BR>\n" );
document.write( "2 log (y^3/x) - 3 log (y) + 1/2 log x^4y^2<BR>\n" );
document.write( "2 log (y^3/x)=log[(y^3/x)^2] (exponent rule)<BR>\n" );
document.write( "3 log (y)=log[y^3] (exponent rule)<BR>\n" );
document.write( "1/2 log x^4y^2=log[(x^4y^2)^1/2]=log[&#8730;[(x^4y^2)]<BR>\n" );
document.write( "plus means multiplication, minus means division<BR>\n" );
document.write( "thus,<BR>\n" );
document.write( "log[(y^3/x)^2 (&#8730;(x^4y^2))/y^3]<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );