document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=46234>Question 46234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve 9^(2x + 1) = 27^x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #30683 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=30683\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> these types of questions look really hard but at very simple (usually :-) ).\r<BR>\n" );
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document.write( "The thing to spot is that the 2 base numbers, here 9 and 27 are both powers of 3. We will convert the numbers to 3 and then we will have \"3 to the power of whatever\" equals \"3 to the power of something else\". So, the 2 powers must be the same thing.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%5E%282x+%2B+1%29+=+27%5Ex+ ALIGN=MIDDLE  ALT=\"+9%5E%282x+%2B+1%29+=+27%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%5E2%29%5E%282x+%2B+1%29+=+%283%5E3%29%5Ex+ ALIGN=MIDDLE  ALT=\"+%283%5E2%29%5E%282x+%2B+1%29+=+%283%5E3%29%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%5E%282%282x%2B1%29%29+=+3%5E%283x%29+ ALIGN=MIDDLE  ALT=\"+3%5E%282%282x%2B1%29%29+=+3%5E%283x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So now we can say that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%282x%2B1%29+=+3x+ ALIGN=MIDDLE  ALT=\"+2%282x%2B1%29+=+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%2B2+=+3x+ ALIGN=MIDDLE  ALT=\"+4x%2B2+=+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B2+=+0+ ALIGN=MIDDLE  ALT=\"+x%2B2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-2+ ALIGN=MIDDLE  ALT=\"+x+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "CHECK:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%5E%282%28-2%29+%2B+1%29+=+27%5E%28-2%29+ ALIGN=MIDDLE  ALT=\"+9%5E%282%28-2%29+%2B+1%29+=+27%5E%28-2%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%5E%28-4%2B1%29+=+27%5E%28-2%29+ ALIGN=MIDDLE  ALT=\"+9%5E%28-4%2B1%29+=+27%5E%28-2%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%5E%28-3%29+=+27%5E%28-2%29+ ALIGN=MIDDLE  ALT=\"+9%5E%28-3%29+=+27%5E%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F9%5E%283%29+=+1%2F27%5E%282%29+ ALIGN=MIDDLE  ALT=\"+1%2F9%5E%283%29+=+1%2F27%5E%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%283%5E2%29%5E%283%29+=+1%2F%283%5E3%29%5E%282%29+ ALIGN=MIDDLE  ALT=\"+1%2F%283%5E2%29%5E%283%29+=+1%2F%283%5E3%29%5E%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%283%5E6%29+=+1%2F%283%5E6%29+ ALIGN=MIDDLE  ALT=\"+1%2F%283%5E6%29+=+1%2F%283%5E6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so we are correct.\r<BR>\n" );
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document.write( "jon<BR>\n" );
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