document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87655>Question 87655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If log (p+q) = log p- log q, show that p(1-q)=q^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63568 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=63568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember the law of logarithms:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%28p%2Fq%29+=+log+p+-+log+q+ ALIGN=MIDDLE  ALT=\"log+%28p%2Fq%29+=+log+p+-+log+q+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Therefore, if you are given that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%28%28p%2Bq%29%29+=+log+p-+log+q ALIGN=MIDDLE  ALT=\"log+%28%28p%2Bq%29%29+=+log+p-+log+q\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
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document.write( "then replace the right side as follows:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%28%28p%2Bq%29%29+=+log%28p%2Fq%29+ ALIGN=MIDDLE  ALT=\"log+%28%28p%2Bq%29%29+=+log%28p%2Fq%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take the antilog of each side and it looks like this: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2Bq%29+=+%28p%2Fq%29 ALIGN=MIDDLE  ALT=\"%28p%2Bq%29+=+%28p%2Fq%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Muliply both sides by q: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%28p%2Bq%29+=+p ALIGN=MIDDLE  ALT=\"q%28p%2Bq%29+=+p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pq%2B+q%5E2+=+p+ ALIGN=MIDDLE  ALT=\"pq%2B+q%5E2+=+p+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract pq from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%5E2+=+p-pq+ ALIGN=MIDDLE  ALT=\"q%5E2+=+p-pq+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor the right side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%5E2+=+p%281-q%29+ ALIGN=MIDDLE  ALT=\"q%5E2+=+p%281-q%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=p%281-q%29=q%5E2 ALIGN=MIDDLE  ALT=\"p%281-q%29=q%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2  Retired from SCC<BR>\n" );
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