document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384326>Question 384326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve e^2x -6e^x +5=0 algebraically.  Find exact solutions, expressing the answer in terms of natural logarithms. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #272064 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=272064\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation can be treated as a quadratic equation in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ex ALIGN=MIDDLE  ALT=\"e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  That said, the equation factors as follows:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28e%5Ex+-+1%29%28e%5Ex+-+5%29+=+0 ALIGN=MIDDLE  ALT=\"%28e%5Ex+-+1%29%28e%5Ex+-+5%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Hence either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ex+=+1 ALIGN=MIDDLE  ALT=\"e%5Ex+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ex+=+5 ALIGN=MIDDLE  ALT=\"e%5Ex+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "These give the values x = 0 or x = ln5. </SPAN>\n" );
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