document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150412>Question 150412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express in terms of sums and differences of logarithms\r<BR>\n" );
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document.write( "      log&#8336; x^3y^2z (after the log is a)\r<BR>\n" );
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document.write( "Can anyone help me solve this?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110363 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=110363\">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%28a%2C%28x%5E3y%5E2z%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C%28x%5E3y%5E2z%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%28a%2C%28x%5E3%29%29%2Blog%28a%2C%28y%5E2z%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C%28x%5E3%29%29%2Blog%28a%2C%28y%5E2z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the log <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2C%28x%5E3y%5E2z%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C%28x%5E3y%5E2z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28A%2AB%29%29=log%28b%2C%28A%29%29%2Alog%28b%2C%28B%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%2AB%29%29=log%28b%2C%28A%29%29%2Alog%28b%2C%28B%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%28a%2C%28x%5E3%29%29%2Blog%28a%2C%28y%5E2%29%29%2Blog%28a%2C%28z%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C%28x%5E3%29%29%2Blog%28a%2C%28y%5E2%29%29%2Blog%28a%2C%28z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the log <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2C%28y%5E2z%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C%28y%5E2z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28A%2AB%29%29=log%28b%2C%28A%29%29%2Alog%28b%2C%28B%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%2AB%29%29=log%28b%2C%28A%29%29%2Alog%28b%2C%28B%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=3%2Alog%28a%2C%28x%29%29%2Blog%28a%2C%28y%5E2%29%29%2Blog%28a%2C%28z%29%29 ALIGN=MIDDLE  ALT=\"3%2Alog%28a%2C%28x%29%29%2Blog%28a%2C%28y%5E2%29%29%2Blog%28a%2C%28z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2C%28x%5E3%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C%28x%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Alog%28a%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"3%2Alog%28a%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%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=3%2Alog%28a%2C%28x%29%29%2B2%2Alog%28a%2C%28y%29%29%2Blog%28a%2C%28z%29%29 ALIGN=MIDDLE  ALT=\"3%2Alog%28a%2C%28x%29%29%2B2%2Alog%28a%2C%28y%29%29%2Blog%28a%2C%28z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2C%28y%5E2%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C%28y%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Alog%28a%2C%28y%29%29 ALIGN=MIDDLE  ALT=\"2%2Alog%28a%2C%28y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2C%28x%5E3y%5E2z%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C%28x%5E3y%5E2z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > expands to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Alog%28a%2C%28x%29%29%2B2%2Alog%28a%2C%28y%29%29%2Blog%28a%2C%28z%29%29 ALIGN=MIDDLE  ALT=\"3%2Alog%28a%2C%28x%29%29%2B2%2Alog%28a%2C%28y%29%29%2Blog%28a%2C%28z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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