document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=635472>Question 635472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Okay can you show we how to solve the equation 3^(2x+1)-10*3^(x)+3=0<BR>\n" );
document.write( "Please your help would be very appreciated cause i am doing an online class and do not have access to a teacher </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400350 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=400350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3^(2x+1)-10*3^(x)+3=0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "3^(2x)*3 - 10*3^(x) + 3 = 0<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "3*(3^x)^2 - 10(3^x) + 3 = 0<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Quadratic written in 3^x.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Let w = 3^x.<BR>\n" );
document.write( "Then:<BR>\n" );
document.write( "3w^2 - 10w + 3 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(3w-1)(3w-3) = 0<BR>\n" );
document.write( "3w = 1 or 3w = 3<BR>\n" );
document.write( "w = 1/3 or w = 1<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "3^x = 1/3 or 3^x = 1<BR>\n" );
document.write( "x = -1 or x = 0<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );