document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935849>Question 935849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for n:<BR>\n" );
document.write( "[(3)]^{(81)^n}=[(81)]^{(3)^n} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569194 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283%5E%2881%5En%29=81%5E%283%5En%29%29 ALIGN=MIDDLE  ALT=\"highlight%283%5E%2881%5En%29=81%5E%283%5En%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...........<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81=9%2A9=3%5E2%2A3%5E2=3%5E4 ALIGN=MIDDLE  ALT=\"81=9%2A9=3%5E2%2A3%5E2=3%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > substitute it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283%5E%28%283%5E4%29%5En%29=%283%5E4%29%5E%283%5En%29%29 ALIGN=MIDDLE  ALT=\"highlight%283%5E%28%283%5E4%29%5En%29=%283%5E4%29%5E%283%5En%29%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=highlight%283%5E%283%5E%284n%29%29=3%5E%284%2A3%5En%29%29 ALIGN=MIDDLE  ALT=\"highlight%283%5E%283%5E%284n%29%29=3%5E%284%2A3%5En%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....same base, then same exponents\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283%5E%284n-n%29=4%29 ALIGN=MIDDLE  ALT=\"highlight%283%5E%284n-n%29=4%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=highlight%283%5E%283n%29=4%29 ALIGN=MIDDLE  ALT=\"highlight%283%5E%283n%29=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....use log base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   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=highlight%28log%283%5E%283n%29%29=log%284%29%29 ALIGN=MIDDLE  ALT=\"highlight%28log%283%5E%283n%29%29=log%284%29%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=highlight%28%283n%29log%283%29=log%282%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%283n%29log%283%29=log%282%5E2%29%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=highlight%283n=2log%282%29%2Flog%283%29%29 ALIGN=MIDDLE  ALT=\"highlight%283n=2log%282%29%2Flog%283%29%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=highlight%28blue%28n+=+%282log%282%29%29%2F%283log%283%29%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28blue%28n+=+%282log%282%29%29%2F%283log%283%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...exact solution\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28green%28n=0.42062%29%29 ALIGN=MIDDLE  ALT=\"highlight%28green%28n=0.42062%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...approximate solution\r<BR>\n" );
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document.write( "check this solution:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281070.37=1070.36%29+ ALIGN=MIDDLE  ALT=\"highlight%281070.37=1070.36%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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