document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182378>Question 182378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/2 log base 5 1 - 2 log base 5 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136879 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=136879\">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%29%2Alog%285%2C%281%29%29-2%2Alog%285%2C%285%29%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Alog%285%2C%281%29%29-2%2Alog%285%2C%285%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=%281%2F2%29%280%29-log%285%2C%285%5E2%29%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%280%29-log%285%2C%285%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C%281%29%29 ALIGN=MIDDLE  ALT=\"log%285%2C%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 0 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0-log%285%2C%285%5E2%29%29 ALIGN=MIDDLE  ALT=\"0-log%285%2C%285%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-log%285%2C%285%5E2%29%29 ALIGN=MIDDLE  ALT=\"-log%285%2C%285%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2Alog%285%2C%285%29%29 ALIGN=MIDDLE  ALT=\"-2%2Alog%285%2C%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use 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;\" > to rewrite the expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2A1 ALIGN=MIDDLE  ALT=\"-2%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C%285%29%29 ALIGN=MIDDLE  ALT=\"log%285%2C%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Alog%285%2C%281%29%29-2%2Alog%285%2C%285%29%29=-2 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Alog%285%2C%281%29%29-2%2Alog%285%2C%285%29%29=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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