document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135804>Question 135804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, <BR>\n" );
document.write( "   Can you help me with this math problem? \r<BR>\n" );
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document.write( "19.) Rewrite the expression as a single logarithm. \r<BR>\n" );
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document.write( "2 log4 (2x+3)+3 log4 (4x+4) \r<BR>\n" );
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document.write( "The answer should be log4(2x+3)^2(4x+4)^3  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99509 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer is based on one rule. It is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2Cb%29+%2B+log%28a%2Cc%29+%2B+log%28a%2Cd%29+=+log%28a%2Cbcd%29 ALIGN=MIDDLE  ALT=\"log%28a%2Cb%29+%2B+log%28a%2Cc%29+%2B+log%28a%2Cd%29+=+log%28a%2Cbcd%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can verify it with numbers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C4%29+%2B+log%282%2C8%29+%2B+log%282%2C16%29+=+log%282%2C4%2A8%2A16%29 ALIGN=MIDDLE  ALT=\"log%282%2C4%29+%2B+log%282%2C8%29+%2B+log%282%2C16%29+=+log%282%2C4%2A8%2A16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2B+3+%2B+4+=+log%282%2C512%29 ALIGN=MIDDLE  ALT=\"2+%2B+3+%2B+4+=+log%282%2C512%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+log%282%2C512%29 ALIGN=MIDDLE  ALT=\"9+=+log%282%2C512%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E9+=+512 ALIGN=MIDDLE  ALT=\"2%5E9+=+512\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=512+=+512 ALIGN=MIDDLE  ALT=\"512+=+512\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Alog%284%2C%282x%2B3%29%29+%2B+3%2Alog%284%2C%284x%2B4%29%29 ALIGN=MIDDLE  ALT=\"2%2Alog%284%2C%282x%2B3%29%29+%2B+3%2Alog%284%2C%284x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This can be rewritten as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C%282x%2B3%29%29+%2B+log%284%2C%282x%2B3%29%29+%2B+log%284%2C%284x%2B4%29%29+%2B+log%284%2C%284x%2B4%29%29+%2Blog%284%2C%284x%2B4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Following the above rule,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C%282x%2B3%29%282x%2B3%29%29+%2B+log%284%2C%284x%2B4%29%284x%2B4%29%284x%2B4%29%29 ALIGN=MIDDLE  ALT=\"log%284%2C%282x%2B3%29%282x%2B3%29%29+%2B+log%284%2C%284x%2B4%29%284x%2B4%29%284x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C%282x%2B3%29%5E2%29+%2B+log%284%2C%284x%2B4%29%5E3%29 ALIGN=MIDDLE  ALT=\"log%284%2C%282x%2B3%29%5E2%29+%2B+log%284%2C%284x%2B4%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now apply the rule one more time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C%282x%2B3%29%5E2%2A%284x%2B4%29%5E3%29 ALIGN=MIDDLE  ALT=\"log%284%2C%282x%2B3%29%5E2%2A%284x%2B4%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );