document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=245546>Question 245546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the exponential equation. Use a calculator to obtain a decimal approximation,correct to two decimal places, for the solution.<BR>\n" );
document.write( "e^2x + e^x -6=0<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179346 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=179346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> e^2x + e^x -6=0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let A = e^x<BR>\n" );
document.write( "then we can rewrite:<BR>\n" );
document.write( "e^2x + e^x -6=0<BR>\n" );
document.write( "as<BR>\n" );
document.write( "A^2 + A -6=0<BR>\n" );
document.write( "Factoring<BR>\n" );
document.write( "(A+3)(A-2) = 0<BR>\n" );
document.write( "A = {-3, 2}<BR>\n" );
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document.write( "But, we said:<BR>\n" );
document.write( "A = e^x<BR>\n" );
document.write( "Solving for x:<BR>\n" );
document.write( "ln(A) = x<BR>\n" );
document.write( ".<BR>\n" );
document.write( "At this point, we can toss out the negative solution leaving:<BR>\n" );
document.write( "A = 2<BR>\n" );
document.write( "ln(A) = x<BR>\n" );
document.write( "ln(2) = x<BR>\n" );
document.write( "0.69 = x<BR>\n" );
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