document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=810572>Question 810572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write as a single logarithm<BR>\n" );
document.write( "a) 1/2log(base y ) p^3 q^4 - 2/3log(base y) p^4 q^3\r<BR>\n" );
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document.write( "Can you please help me out? Thanks so much in advance:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488475 by </B><A HREF=/tutors/aboutme.mpl?userid=erica65404><B>erica65404(394)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=erica65404><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/cgi-bin/show-face.mpl?user=erica65404><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=488475\">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%29log%28y%2C%28p%5E3q%5E4%29%29-%282%2F3%29log%28y%2C%28p%5E4q%5E3%29%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29log%28y%2C%28p%5E3q%5E4%29%29-%282%2F3%29log%28y%2C%28p%5E4q%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The coefficients of the logs are exponents of the logs.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28y%2C%28p%5E3q%5E4%29%5E%281%2F2%29%29-log%28y%2C%28p%5E4q%5E3%29%5E%282%2F3%29%29 ALIGN=MIDDLE  ALT=\"log%28y%2C%28p%5E3q%5E4%29%5E%281%2F2%29%29-log%28y%2C%28p%5E4q%5E3%29%5E%282%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can combine the logs because they have the same base.<BR>\n" );
document.write( "Since you are subtracting you will use the division property.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28y%2C%28%28p%5E3q%5E4%29%5E%281%2F2%29%29%2F%28%28p%5E4q%5E3%29%5E%282%2F3%29%29%29 ALIGN=MIDDLE  ALT=\"log%28y%2C%28%28p%5E3q%5E4%29%5E%281%2F2%29%29%2F%28%28p%5E4q%5E3%29%5E%282%2F3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28y%2C%28%28p%5E%283%2F2%29q%5E2%29%2F%28p%5E%288%2F3%29q%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"log%28y%2C%28%28p%5E%283%2F2%29q%5E2%29%2F%28p%5E%288%2F3%29q%5E2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28y%2C%28%281%29%2F%28p%5E%287%2F6%29%29%29%29 ALIGN=MIDDLE  ALT=\"log%28y%2C%28%281%29%2F%28p%5E%287%2F6%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28y%2C%28%281%29%2F%28root%286%2Cp%5E7%29%29%29%29 ALIGN=MIDDLE  ALT=\"log%28y%2C%28%281%29%2F%28root%286%2Cp%5E7%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28y%2C%28%281%29%2F%28p%2Aroot%286%2Cp%29%29%29%29 ALIGN=MIDDLE  ALT=\"log%28y%2C%28%281%29%2F%28p%2Aroot%286%2Cp%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rationalize<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28y%2C%28%28root%286%2Cp%29%29%2F%28p%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"log%28y%2C%28%28root%286%2Cp%29%29%2F%28p%5E2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There is the final answer. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );