document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272850>Question 272850</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can I write the expression as a logarithm of a single quantity for the following exercise.\r<BR>\n" );
document.write( "\n" );
document.write( "1/2ln(x)+4ln(y)-3ln(z)\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks,<BR>\n" );
document.write( "Leidy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199420 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=199420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Aln%28x%29%2B4%2Aln%28y%29-3%2Aln%28z%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Aln%28x%29%2B4%2Aln%28y%29-3%2Aln%28z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%5E%281%2F2%29%5E%22%22%29%2Bln%28y%5E4%29-ln%28z%5E3%29 ALIGN=MIDDLE  ALT=\"ln%28x%5E%281%2F2%29%5E%22%22%29%2Bln%28y%5E4%29-ln%28z%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Aln%28x%29=ln%28x%5Ey%29 ALIGN=MIDDLE  ALT=\"y%2Aln%28x%29=ln%28x%5Ey%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28sqrt%28x%29%29%2Bln%28y%5E4%29-ln%28z%5E3%29 ALIGN=MIDDLE  ALT=\"ln%28sqrt%28x%29%29%2Bln%28y%5E4%29-ln%28z%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert to radical notation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28sqrt%28x%29%2Ay%5E4%29-ln%28z%5E3%29 ALIGN=MIDDLE  ALT=\"ln%28sqrt%28x%29%2Ay%5E4%29-ln%28z%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the first two logs using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%29%2Bln%28y%29=ln%28xy%29 ALIGN=MIDDLE  ALT=\"ln%28x%29%2Bln%28y%29=ln%28xy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28y%5E4%2Asqrt%28x%29%29-ln%28z%5E3%29 ALIGN=MIDDLE  ALT=\"ln%28y%5E4%2Asqrt%28x%29%29-ln%28z%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%28y%5E4%2Asqrt%28x%29%29%2Fz%5E3%29 ALIGN=MIDDLE  ALT=\"ln%28%28y%5E4%2Asqrt%28x%29%29%2Fz%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%29-ln%28y%29=ln%28x%2Fy%29 ALIGN=MIDDLE  ALT=\"ln%28x%29-ln%28y%29=ln%28x%2Fy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Aln%28x%29%2B4%2Aln%28y%29-3%2Aln%28z%29=ln%28%28y%5E4%2Asqrt%28x%29%29%2Fz%5E3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > where each variable is greater than zero. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );