document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959994>Question 959994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For some reason this question did not get posted the last time I asked, so I'm having to post it again.\r<BR>\n" );
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document.write( "In this problem I've been asked to prove that loga x = c * logb x, where c is a constant.  In other words, direct proportionality.  I'd started out by representing the left side of the above equation with p and the right with q, then went (left side)/p = 1 and (right side)/q = 1, therefore (left side)/p = (right side)/q.  I then cross-multiplied and used the division property of equality to get... exactly what I already had, (left side)/p = (right side)/q.  Just when I thought I had it cracked too!  A later problem has provided a clue - if c were equal to loga b, that might be very helpful, but I can't figure out how to get there without making that a given.\r<BR>\n" );
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document.write( "I'm completely stumped here.  Help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586697 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=586697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is not a statement to prove, unless you are allowed other important information:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2Cx%29=c%2Alog%28b%2Cx%29 ALIGN=MIDDLE  ALT=\"log%28a%2Cx%29=c%2Alog%28b%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This is a part of what you said, direct proportion or direct variation.  The equation is true only because it is given as true.\r<BR>\n" );
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document.write( "Could you use Change of Base formula?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2Cx%29=log%28b%2Cx%29%2Flog%28b%2Ca%29 ALIGN=MIDDLE  ALT=\"log%28a%2Cx%29=log%28b%2Cx%29%2Flog%28b%2Ca%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2Cx%29=log%28b%2Cx%29%2Flog%28b%2Ca%29=c%2Alog%28b%2Cx%29 ALIGN=MIDDLE  ALT=\"log%28a%2Cx%29=log%28b%2Cx%29%2Flog%28b%2Ca%29=c%2Alog%28b%2Cx%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=%281%2Flog%28b%2Ca%29%29%2Alog%28b%2Cx%29=c%2Alog%28b%2Cx%29 ALIGN=MIDDLE  ALT=\"%281%2Flog%28b%2Ca%29%29%2Alog%28b%2Cx%29=c%2Alog%28b%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If this is expected or given as true, then through their corresponding positions, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%281%2Flog%28b%2Ca%29=c%29 ALIGN=MIDDLE  ALT=\"highlight_green%281%2Flog%28b%2Ca%29=c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now then you have a statement about c, but not much is proved here about the given equation. </SPAN>\n" );
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