document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110372>Question 110372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> don't know if you can help but here is the question?\r<BR>\n" );
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document.write( "Suppose that 4e^(5x) + 8 = 7e^(5x) - 1. Solve for x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80478 by </B><A HREF=/tutors/aboutme.mpl?userid=TP><B>TP(29)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TP><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=80478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7e^(5x) - 1 = 4e^(5x) + 8<BR>\n" );
document.write( "Add 1 to each side<BR>\n" );
document.write( "7e^(5x) = 4e^(5x) + 9<BR>\n" );
document.write( "Subtract 4e^(5x) from both sides<BR>\n" );
document.write( "3e^(5x) = 9<BR>\n" );
document.write( "Divide both sides by 3<BR>\n" );
document.write( "e^(5x) = 3<BR>\n" );
document.write( "Take logs of both sides<BR>\n" );
document.write( "In[e^(5x)] = In(3)<BR>\n" );
document.write( "So 5xIn(e) = In(3)<BR>\n" );
document.write( "So 5x = In(3) (since In(e) = 1)\r<BR>\n" );
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document.write( "Divide both sides by 5<BR>\n" );
document.write( "Hence x = [In(3)]/5 = [1.098612289]/5 = 0.219722457 ( to 9 dec. places) ANS </SPAN>\n" );
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