document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=470759>Question 470759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 11. Solve the exponential equation.  Express your solutions in exact form only.  Please show all of your work.\r<BR>\n" );
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document.write( "e^x+15-e^x=4 \r<BR>\n" );
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document.write( "   <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 #322912 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=322912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28x+%2B+15%29+-+e%5Ex+=+4 ALIGN=MIDDLE  ALT=\"e%5E%28x+%2B+15%29+-+e%5Ex+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use property of exponent addition: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Ax%5E3+=+x%5E%282%2B3%29 ALIGN=MIDDLE  ALT=\"x%5E2%2Ax%5E3+=+x%5E%282%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ex%2Ae%5E15+-+e%5Ex+=+4 ALIGN=MIDDLE  ALT=\"e%5Ex%2Ae%5E15+-+e%5Ex+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor out e^x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28e%5Ex%29%28e%5E15+-+1%29+=+4 ALIGN=MIDDLE  ALT=\"%28e%5Ex%29%28e%5E15+-+1%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by e^15 - 1 on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ex+=+4%2F%28e%5E15+-+1%29 ALIGN=MIDDLE  ALT=\"e%5Ex+=+4%2F%28e%5E15+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take Natural Log of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+ln+%284%2F%28e%5E15+-+1%29%29+=+-13.61 ALIGN=MIDDLE  ALT=\"x+=+ln+%284%2F%28e%5E15+-+1%29%29+=+-13.61\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );