document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687650>Question 687650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> reduce this to a single logarithm:<BR>\n" );
document.write( "log(x^5y^4)-2log(x(y^1/3))-5log(x/y)\r<BR>\n" );
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document.write( "I did it but got it wrong on some online homework i got:<BR>\n" );
document.write( "log((y^9)/(x^2(y^2/3))) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425257 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=425257\">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%28x%5E5y%5E4%29+-+2%2Alog%28x%2A%28y%5E1%2F3%29%29+-+5%2Alog%28x%2Fy%29++ ALIGN=MIDDLE  ALT=\"+log%28x%5E5y%5E4%29+-+2%2Alog%28x%2A%28y%5E1%2F3%29%29+-+5%2Alog%28x%2Fy%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'll take each term one at a time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28x%5E5y%5E4%29+ ALIGN=MIDDLE  ALT=\"+log%28x%5E5y%5E4%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%28+x%5E5+%29+%2B+log%28+y%5E4+%29+ ALIGN=MIDDLE  ALT=\"+log%28+x%5E5+%29+%2B+log%28+y%5E4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2Alog%28+x+%29+%2B+4%2Alog%28+y+%29+ ALIGN=MIDDLE  ALT=\"+5%2Alog%28+x+%29+%2B+4%2Alog%28+y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Alog%28x%2A%28y%5E1%2F3%29%29+ ALIGN=MIDDLE  ALT=\"+2%2Alog%28x%2A%28y%5E1%2F3%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=+2%2Alog%28+x+%29+%2B+2%2Alog%28+y%5E%281%2F3%29+%29+ ALIGN=MIDDLE  ALT=\"+2%2Alog%28+x+%29+%2B+2%2Alog%28+y%5E%281%2F3%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=+2%2Alog%28+x+%29+%2B+%282%2F3%29%2Alog%28+y+%29+ ALIGN=MIDDLE  ALT=\"+2%2Alog%28+x+%29+%2B+%282%2F3%29%2Alog%28+y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++5%2Alog%28x%2Fy%29+ ALIGN=MIDDLE  ALT=\"++5%2Alog%28x%2Fy%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2Alog%28+x+%29+-+5%2Alog%28+y+%29+ ALIGN=MIDDLE  ALT=\"+5%2Alog%28+x+%29+-+5%2Alog%28+y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Putting these together with the right signs:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2Alog%28+x+%29+%2B+4%2Alog%28+y+%29+-+2%2Alog%28+x+%29+-+%282%2F3%29%2Alog%28+y+%29+-+5%2Alog%28+x+%29+%2B+5%2Alog%28+y+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now put like terms together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2Alog%28+x+%29+-+2%2Alog%28+x+%29+-+5%2Alog%28+x+%29+%2B+4%2Alog%28+y+%29+-+%282%2F3%29%2Alog%28+y+%29+%2B+5%2Alog%28+y+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+2%2Alog%28+x+%29+%2B+%28+27%2F3+%29%2Alog%28+y+%29+-+%282%2F3%29%2Alog%28+y+%29+ ALIGN=MIDDLE  ALT=\"+-+2%2Alog%28+x+%29+%2B+%28+27%2F3+%29%2Alog%28+y+%29+-+%282%2F3%29%2Alog%28+y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2825%2F3%29%2Alog%28+y+%29+-+2%2Alog%28+x+%29+ ALIGN=MIDDLE  ALT=\"+%2825%2F3%29%2Alog%28+y+%29+-+2%2Alog%28+x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "It's VERY easy to slip up- hope I got it<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );