document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61958>Question 61958</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131430920/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation.<BR>\n" );
document.write( "cuberoot2^(2-x) = 2^(x^2)<BR>\n" );
document.write( "This problem is very confusing for me, please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42698 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=42698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cuberoot2^(2-x) = 2^(x^2)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Raise both sides to the 3rd power to get:<BR>\n" );
document.write( "2^(2-x)=2^(3x^2)<BR>\n" );
document.write( "The exponents must be equal so:<BR>\n" );
document.write( "2-x=3x^2<BR>\n" );
document.write( "3x^2+x-2=0<BR>\n" );
document.write( "(3x-2)(x+1)=0<BR>\n" );
document.write( "x=2/3 or x=-1<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );