document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133154>Question 133154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x algebraically: 5^(2x)- 4(5)^x=-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97363 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=97363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5^(2x)- 4(5)^x=-3<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "(5^x)^2 -4(5^x) +3 = 0<BR>\n" );
document.write( "Let 5^x = w<BR>\n" );
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document.write( "w^2-4w+3 = 0<BR>\n" );
document.write( "(w-3)(w-1) = 0<BR>\n" );
document.write( "w = 3 or w = 1<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Replace w by 5^x:<BR>\n" );
document.write( "5^x = 3 or 5^x = 1<BR>\n" );
document.write( "x = log(3)/log(5) or x = 0<BR>\n" );
document.write( "x = 0.682606... 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" );