document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=532366>Question 532366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am not sure how to answer this 9^x-3^(x+1)+1=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350821 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=350821\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am not sure how to answer this <BR>\n" );
document.write( "9^x-3^(x+1)+1=0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "(3^x)^2 - 3^x*3 + 1 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(3^x)^2 - 3(3^x) + 1 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Let w = 3^x:<BR>\n" );
document.write( "w^2 - 3w + 1 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "w = [3 +- sqrt(9-4*1*1)]/2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "w = [3 +- sqrt(5)]/2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "w = (3/2)+(1/2)sqrt(5) or w = (3/2)-(1/2)sqrt(5)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"x\"<BR>\n" );
document.write( "3^x = (3/2)+(1/2)sqrt(5) or 3^x = (3/2)-(1/2)sqrt(5)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "x = ln[(3/2)+sqrt(5)/2}/ln(3) or x = ln[(3/2)-(sqrt(5)/2)/ln(3)<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================== <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );