document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366565>Question 366565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If x=2 to the power y write 2 to the power 2y and 2 to the 2y+1 in terms of x and\r<BR>\n" );
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document.write( "solve the equation 2 to the 2y+1 -5(2 to the y)+2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261233 by </B><A HREF=/tutors/aboutme.mpl?userid=amoresroy><B>amoresroy(361)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amoresroy><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=amoresroy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=261233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If x=2 to the power y write 2 to the power 2y and 2 to the 2y+1 in terms of x and\r<BR>\n" );
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document.write( "x = 2^y\r<BR>\n" );
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document.write( "x^2 = 2^2y\r<BR>\n" );
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document.write( "2x^2 = 2^(2y+1)\r<BR>\n" );
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document.write( "solve the equation 2 to the 2y+1 -5(2 to the y)+2=0\r<BR>\n" );
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document.write( "Express above euation in terms of x\r<BR>\n" );
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document.write( "2x^2 -5x +2 = 0<BR>\n" );
document.write( "Solve for x by factoring method<BR>\n" );
document.write( "(2x-1)(x-2) = 0\r<BR>\n" );
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document.write( "When 2x-1 = 0<BR>\n" );
document.write( "       2x = 1<BR>\n" );
document.write( "        x =1/2\r<BR>\n" );
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document.write( "substitute x = 1/2 in equation x = 2^y<BR>\n" );
document.write( "         2^y = 1/2\r<BR>\n" );
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document.write( "Get log of both sides\r<BR>\n" );
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document.write( "    log 2^y = log 1/2<BR>\n" );
document.write( "       y log 2 = log 1/2<BR>\n" );
document.write( "           y   = [log 1/2]/log 2\r<BR>\n" );
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document.write( "When x-2  = 0<BR>\n" );
document.write( "        x = 2\r<BR>\n" );
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document.write( "substitute x = 2 in equation x = 2^y<BR>\n" );
document.write( "         2^y = 2\r<BR>\n" );
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document.write( "Get log of both sides\r<BR>\n" );
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document.write( "    log 2^y = log 2<BR>\n" );
document.write( "       y log 2 = log 2<BR>\n" );
document.write( "           y   = 1 </SPAN>\n" );
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