document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163874>Question 163874</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry Structure and Method book 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have been struggling on this problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!\r<BR>\n" );
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document.write( "Using Laws of Exponents<BR>\n" );
document.write( "solve for n.<BR>\n" );
document.write( "4^n+3*16^n=8^3n </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120745 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume the problems is:<BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E%28n%2B3%29%2A16%5En ALIGN=MIDDLE  ALT=\"4%5E%28n%2B3%29%2A16%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E%283n%29 ALIGN=MIDDLE  ALT=\"8%5E%283n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "note all these values are powers of 2, 4=2^2; 16 = 2^4; 8 = 2^3<BR>\n" );
document.write( "so we can write this equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%282%28n%2B3%29%29%2A2%5E%284n%29 ALIGN=MIDDLE  ALT=\"2%5E%282%28n%2B3%29%29%2A2%5E%284n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%283%283n%29%29 ALIGN=MIDDLE  ALT=\"2%5E%283%283n%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%282n%2B6%29%2A2%5E%284n%29 ALIGN=MIDDLE  ALT=\"2%5E%282n%2B6%29%2A2%5E%284n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%289n%29 ALIGN=MIDDLE  ALT=\"2%5E%289n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Which is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%282n%2B6%2B4n%29 ALIGN=MIDDLE  ALT=\"2%5E%282n%2B6%2B4n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%289n%29 ALIGN=MIDDLE  ALT=\"2%5E%289n%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%5E%286n%2B6%29 ALIGN=MIDDLE  ALT=\"2%5E%286n%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%289n%29 ALIGN=MIDDLE  ALT=\"2%5E%289n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore we can say<BR>\n" );
document.write( "6n + 6 = 9n<BR>\n" );
document.write( "6 = 9n - 6n<BR>\n" );
document.write( "6 = 3n<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F3 ALIGN=MIDDLE  ALT=\"6%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 2<BR>\n" );
document.write( ";<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Substitute for n in the original equation and enter in a good calc to prove it\r<BR>\n" );
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