document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998824>Question 998824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The given equations are quadratic. Solve analytically. <BR>\n" );
document.write( "a)  3^2x + 35 = 12(3^x)<BR>\n" );
document.write( "    3^2x-36^x + 35 = 0<BR>\n" );
document.write( "    (3^x-35)(l^x-1)=0      <BR>\n" );
document.write( "not sure if I started this correctly or not. \r<BR>\n" );
document.write( "\n" );
document.write( "b) I was not sure how to do this one<BR>\n" );
document.write( "  2(lnx)^2 + 9 lnx =5<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616572 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=616572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) 3^2x + 35 = 12(3^x)<BR>\n" );
document.write( "(3^x)^2-36*3^x + 35 = 0<BR>\n" );
document.write( "(3^x-35)(3^x-1)=0 <BR>\n" );
document.write( "3^x = 35 of 3^x = 1<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = log(35)/log(3) or x = log(1)/log(3)<BR>\n" );
document.write( "x = 1.8654 or x = 0<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "b) I was not sure how to do this one<BR>\n" );
document.write( "2(lnx)^2 + 9 lnx - 5 = 0<BR>\n" );
document.write( "(2ln(x)-1)(2ln(x)+5) = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "ln(x) = 1/2 or ln(x) = -5/2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x = e^(1/2) or x = e^(-5/2)<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );