document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150788>Question 150788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 23/15 (logBASE5 N+logBASE5 (n+11)) -12/13 logBASE5(n-10)  Condense to the logarithm of a single quantity. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110712 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=110712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> OK good.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2823%2F15%29%28log%285%2CN%29%2Blog%285%2C%28N%2B11%29%29%29-%2812%2F13%29log%285%2C%28N-10%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Important logarithm rules we'll be using,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28x%2Ay%29%29=log%28%28x%29%29%2Blog%28%28y%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%2Ay%29%29=log%28%28x%29%29%2Blog%28%28y%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%28%28x%2Fy%29%29=log%28%28x%29%29%2Flog%28%28y%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%2Fy%29%29=log%28%28x%29%29%2Flog%28%28y%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=p%2Alog%28%28x%29%29=log%28%28x%5Ep%29%29 ALIGN=MIDDLE  ALT=\"p%2Alog%28%28x%29%29=log%28%28x%5Ep%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=%2823%2F15%29%28log%285%2CN%29%2Blog%285%2C%28N%2B11%29%29%29-%2812%2F13%29log%285%2C%28N-10%29%29=%0D%0A%2823%2F15%29%28log%285%2C%28N%2A%28N%2B11%29%29%29%29-%2812%2F13%29log%285%2C%28N-10%29%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=%2823%2F15%29%28log%285%2CN%29%2Blog%285%2C%28N%2B11%29%29%29-%2812%2F13%29log%285%2C%28N-10%29%29=%0D%0A%28log%285%2C%28N%2A%28N%2B11%29%29%5E%2823%2F15%29%29%29-log%285%2C%28N-10%29%5E%2812%2F13%29%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=%2823%2F15%29%28log%285%2CN%29%2Blog%285%2C%28N%2B11%29%29%29-%2812%2F13%29log%285%2C%28N-10%29%29=%0D%0Alog%285%2C+%28N%2A%28N%2B11%29%29%5E%2823%2F15%29%2F%28%28N-10%29%5E%2812%2F13%29%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It ain't pretty, but it is correct.<BR>\n" );
document.write( "Maybe this one is easier to see,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2823%2F15%29%28log%285%2CN%29%2Blog%285%2C%28N%2B11%29%29%29-%2812%2F13%29log%285%2C%28N-10%29%29=%0D%0Alog%285%2C+%28N%2A%28N%2B11%29%29%5E%28A%29%2F%28%28N-10%29%5E%28B%29%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=23%2F15 ALIGN=MIDDLE  ALT=\"A=23%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=12%2F13 ALIGN=MIDDLE  ALT=\"B=12%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );