document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164881>Question 164881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify into a single logarithm:\r<BR>\n" );
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document.write( "log3 x-4log3y  (both the 3's are below the g itself) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121512 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=121512\">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=log%283%2C%28x%29%29-4log%283%2C%283y%29%29 ALIGN=MIDDLE  ALT=\"log%283%2C%28x%29%29-4log%283%2C%283y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C%28x%29%29-log%283%2C%28%283y%29%5E4%29%29 ALIGN=MIDDLE  ALT=\"log%283%2C%28x%29%29-log%283%2C%28%283y%29%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the second logarithm using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29 ALIGN=MIDDLE  ALT=\"y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C%28%28x%29%2F%283y%29%5E4%29%29 ALIGN=MIDDLE  ALT=\"log%283%2C%28%28x%29%2F%283y%29%5E4%29%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=log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C%28%28x%29%2F%2881y%5E4%29%29%29 ALIGN=MIDDLE  ALT=\"log%283%2C%28%28x%29%2F%2881y%5E4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand and simplify\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C%28x%29%29-4log%283%2C%283y%29%29 ALIGN=MIDDLE  ALT=\"log%283%2C%28x%29%29-4log%283%2C%283y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C%28%28x%29%2F%2881y%5E4%29%29%29 ALIGN=MIDDLE  ALT=\"log%283%2C%28%28x%29%2F%2881y%5E4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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