document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198851>Question 198851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express as a single logarithm\r<BR>\n" );
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document.write( "1/2 Log a X + 3 Log a Y - 2 Log a X\r<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 #149336 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=149336\">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%28a%2C%28x%29%29%2B3%2Alog%28a%2C%28y%29%29-2%2Alog%28a%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29log%28a%2C%28x%29%29%2B3%2Alog%28a%2C%28y%29%29-2%2Alog%28a%2C%28x%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%5E%281%2F2%29%29%29%2Blog%28a%2C%28y%5E3%29%29-log%28a%2C%28x%5E2%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C%28x%5E%281%2F2%29%29%29%2Blog%28a%2C%28y%5E3%29%29-log%28a%2C%28x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Rewrite the logs 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%28a%2C%28sqrt%28x%29%29%29%2Blog%28a%2C%28y%5E3%29%29-log%28a%2C%28x%5E2%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C%28sqrt%28x%29%29%29%2Blog%28a%2C%28y%5E3%29%29-log%28a%2C%28x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert to radical notation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2C%28sqrt%28x%29%2Ay%5E3%29%29-log%28a%2C%28x%5E2%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C%28sqrt%28x%29%2Ay%5E3%29%29-log%28a%2C%28x%5E2%29%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=log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%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%28%28sqrt%28x%29%2Ay%5E3%29%2F%28x%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C%28%28sqrt%28x%29%2Ay%5E3%29%2F%28x%5E2%29%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( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29log%28a%2C%28x%29%29%2B3%2Alog%28a%2C%28y%29%29-2%2Alog%28a%2C%28x%29%29=log%28a%2C%28%28sqrt%28x%29%2Ay%5E3%29%2F%28x%5E2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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