document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194114>Question 194114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> express as an equivalent expression that is a single logarithm and if<BR>\n" );
document.write( "possible simplify.\r<BR>\n" );
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document.write( "log(a)2x+3(log(a)x-log(a)y)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145696 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Apply \"log rules\".<BR>\n" );
document.write( "You can review them here:<BR>\n" );
document.write( "http://www.purplemath.com/modules/logrules.htm<BR>\n" );
document.write( ".<BR>\n" );
document.write( "log(a)2x+3(log(a)x-log(a)y)<BR>\n" );
document.write( "First, combine terms inside parenthesis:<BR>\n" );
document.write( "log(a)2x+3(log(a)(x/y))<BR>\n" );
document.write( "Next, simplify right term:<BR>\n" );
document.write( "log(a)2x + log(a)(x/y)^3<BR>\n" );
document.write( "Finally:<BR>\n" );
document.write( "log(a)(2x)(x/y)^3<BR>\n" );
document.write( "log(a)(2x)(x^3/y^3)<BR>\n" );
document.write( "log(a)(2^4/y^3)\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );