document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=465559>Question 465559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that logcx = a and logcy = b:\r<BR>\n" );
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document.write( "Find in terms of a and b:\r<BR>\n" );
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document.write( "a)   logc(c^2 x^4 y^3)\r<BR>\n" );
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document.write( "b)   logc((c^3 x^2)/5rooty)\r<BR>\n" );
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document.write( "c) logy(x^2)\r<BR>\n" );
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document.write( "	 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319309 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=319309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that logcx = a and logcy = b: <BR>\n" );
document.write( "Find in terms of a and b: <BR>\n" );
document.write( "a) logc(c^2 x^4 y^3) <BR>\n" );
document.write( "b) logc((c^3 x^2)/5rooty) <BR>\n" );
document.write( "c) logy(x^2)<BR>\n" );
document.write( "I will assume 5rooty=5&#8730;y<BR>\n" );
document.write( "...<BR>\n" );
document.write( "a) logc(c^2 x^4 y^3)<BR>\n" );
document.write( "=2logc(c)+4logc(x)+3logc(y)   (multiplication & power rule for logs)<BR>\n" );
document.write( "=2(1)+4a+3b<BR>\n" );
document.write( "=2+4a+3b<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b) logc((c^3 x^2)/5&#8730;y)<BR>\n" );
document.write( "=3logc(c)+2logc(x)-(logc(5)-1/2logc(y)<BR>\n" );
document.write( "=3+2a-logc(5)-b/2 </SPAN>\n" );
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