document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937571>Question 937571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I could not find the solution for this question though I had read this problem being asked here already. Please give me the solution for this.\r<BR>\n" );
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document.write( "Express log(ab) + log100(a) in terms of u and v if u = log(a^2) and v = log(1/b) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #570982 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=570982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Express log(ab) + log(sub 100)(a) in terms of u and v if u = log(a^2) and v = log(1/b)<BR>\n" );
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document.write( "If you mean logs base 10 and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28ab%29+%2B+log%28100%2Ca%29 ALIGN=MIDDLE  ALT=\"log%28ab%29+%2B+log%28100%2Ca%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "u = log(a^2) --> u = 2log(a)<BR>\n" );
document.write( "log(a) = u/2<BR>\n" );
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document.write( "v = log(1/b) --> v = log(1) - log(b) = 0 - log(b)<BR>\n" );
document.write( "log(b) = -v<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28100%2Ca%29+=+log%28a%29%2F2+=+%281%2F2%29log%28a%29 ALIGN=MIDDLE  ALT=\"log%28100%2Ca%29+=+log%28a%29%2F2+=+%281%2F2%29log%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "log(ab) = log(a) + log(b) = u/2 - v<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28ab%29+%2B+log%28100%2Ca%29+=+u%2F2+-+v+-+u%2F4 ALIGN=MIDDLE  ALT=\"log%28ab%29+%2B+log%28100%2Ca%29+=+u%2F2+-+v+-+u%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2F4+-+v+ ALIGN=MIDDLE  ALT=\"u%2F4+-+v+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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