document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101105>Question 1101105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine (8x)^x if , 9^x+2=240+9^x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #727997 by </B><A HREF=/tutors/aboutme.mpl?userid=Benbuks><B>Benbuks(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Benbuks><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=727997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   I would presume you meant to type\r<BR>\n" );
document.write( "\n" );
document.write( " 9^(x+2)=240 + 9^x .\r<BR>\n" );
document.write( "\n" );
document.write( "  If so, the solution goes thus \r<BR>\n" );
document.write( "\n" );
document.write( "the given equation can be rewritten as \r<BR>\n" );
document.write( "\n" );
document.write( "9^x•9²  =240 + 9^x <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "&#8594; 81•9^x = 240 + 9^x \r<BR>\n" );
document.write( "\n" );
document.write( "Now, lets do a quick transformation, \r<BR>\n" );
document.write( "\n" );
document.write( "let p= 9^x<BR>\n" );
document.write( "  <BR>\n" );
document.write( "Thus, we have \r<BR>\n" );
document.write( "\n" );
document.write( "81p= 240 + p \r<BR>\n" );
document.write( "\n" );
document.write( " Collect like terms \r<BR>\n" );
document.write( "\n" );
document.write( "&#8594; 81p -p= 240 \r<BR>\n" );
document.write( "\n" );
document.write( "&#8594;80p=240 \r<BR>\n" );
document.write( "\n" );
document.write( "&#8594; p=240/80 =3 \r<BR>\n" );
document.write( "\n" );
document.write( "&#8756;p=3\r<BR>\n" );
document.write( "\n" );
document.write( "recall that \r<BR>\n" );
document.write( "\n" );
document.write( "p= 9^x , \r<BR>\n" );
document.write( "\n" );
document.write( "&#8594; 3= 9^x \r<BR>\n" );
document.write( "\n" );
document.write( "&#8594;3¹ =( 3²)x \r<BR>\n" );
document.write( "\n" );
document.write( "&#8594; 3¹ = 3^(2x) \r<BR>\n" );
document.write( "\n" );
document.write( "3 Cancels out \r<BR>\n" );
document.write( "\n" );
document.write( "&#8594; 1= 2x \r<BR>\n" );
document.write( "\n" );
document.write( "Or \r<BR>\n" );
document.write( "\n" );
document.write( "&#8594; 2x=1  \r<BR>\n" );
document.write( "\n" );
document.write( "&#8756; x= 1/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now , \r<BR>\n" );
document.write( "\n" );
document.write( "(8x)^x.  would be \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "[8× 1/2) ^(1/2) = 4^(1/2) \r<BR>\n" );
document.write( "\n" );
document.write( "= &#8730;(4) = 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&#8756;ANSWER : 2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );