document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=635722>Question 635722</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve 7^(x^2)=2^(x+1) for x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400504 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=400504\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve 7^(x^2)=2^(x+1) for x<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "log2(7) = log(7)/log(2) = 2.8074<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Resrite the problem:<BR>\n" );
document.write( "[2^2.8074)^(x^2) = 2^(x+1)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2^(2.8074x^2) = 2^(x+1)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2.8074x^2 = x+1<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "2.8074x^2 - x - 1 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = -0.4447... or x = 0.8009...<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );