document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280461>Question 280461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of x in:\r<BR>\n" );
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document.write( "2^(2x) -2^(x+1) -15 = 0  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203853 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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=203853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2^(2x) -2^(x+1) -15 = 0 \r<BR>\n" );
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document.write( "(2^x)^2 -2*2^x -15 = 0 \r<BR>\n" );
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document.write( "z^2-2z-15=0\r<BR>\n" );
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document.write( "(z-5)(z+3)=0\r<BR>\n" );
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document.write( "z-5=0 or z+3=0\r<BR>\n" );
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document.write( "z=5  or z=-3\r<BR>\n" );
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document.write( "2^x=5  or 2^x=-3\r<BR>\n" );
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document.write( "2^x=-3 ----> no solution\r<BR>\n" );
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document.write( "2^x=5 ----> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x=\log_{2}(5)\">\r<BR>\n" );
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document.write( "Answer: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x=\log_{2}(5)\"> </SPAN>\n" );
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