document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=418720>Question 418720</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if ((8^x)(9^2y))=81(2^12y) what does x equal?\r<BR>\n" );
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document.write( "I have no idea where to start on this one. <BR>\n" );
document.write( "I had trouble writing this equation, if I were to read it I would say \"if eight to the x times nine to the two y equals 81 times two to the 12 y, what does x equal?\r<BR>\n" );
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document.write( "Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #292970 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=292970\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  if ((8^x)(9^2y))=81(2^12y) what does x equal? <BR>\n" );
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document.write( "You can solve for x in terms of y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%288%5Ex%29%289%5E%282y%29%29%29=81%282%5E%2812y%29%29 ALIGN=MIDDLE  ALT=\"%28%288%5Ex%29%289%5E%282y%29%29%29=81%282%5E%2812y%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=8%5Ex+=+81%2A2%5E%2812y%29%2F%289%5E%282y%29%29 ALIGN=MIDDLE  ALT=\"8%5Ex+=+81%2A2%5E%2812y%29%2F%289%5E%282y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Some manipultion is possible, but \"simplification\" is sometimes a matter of opinion.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5Ex+=+81%2A2%5E%2812y%29%2F%289%5E%282y%29%29 ALIGN=MIDDLE  ALT=\"8%5Ex+=+81%2A2%5E%2812y%29%2F%289%5E%282y%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=8%5Ex+=+81%2A2%5E%2812y%29%2F%2881%5E%28y%29%29 ALIGN=MIDDLE  ALT=\"8%5Ex+=+81%2A2%5E%2812y%29%2F%2881%5E%28y%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=8%5Ex+=+2%5E%2812y%29%2F%2881%5E%28y-1%29%29 ALIGN=MIDDLE  ALT=\"8%5Ex+=+2%5E%2812y%29%2F%2881%5E%28y-1%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=x%2Alog%288%29+=+12y%2Alog%282%29+-+%28y-1%29%2Alog%2881%29 ALIGN=MIDDLE  ALT=\"x%2Alog%288%29+=+12y%2Alog%282%29+-+%28y-1%29%2Alog%2881%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2812y%2Alog%282%29+-+%28y-1%29%2Alog%2881%29%29%2Flog%288%29 ALIGN=MIDDLE  ALT=\"x+=+%2812y%2Alog%282%29+-+%28y-1%29%2Alog%2881%29%29%2Flog%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "All the logs of constants are constants, so it could be calculated to be a constant times y, x = Cy<BR>\n" );
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