document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=951878>Question 951878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions of the equation<BR>\n" );
document.write( "e^x &#8722; 30 e^(&#8722;x) = &#8722;7\r<BR>\n" );
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document.write( "If there is more than one answer, enter them in a list separated by commas. IMPORTANT: Decimal answers will be marked incorrect. Enter an EXACT, symbolic answer (such as 3/2, not 1.5, or ln(2), not .693)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581334 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=581334\">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%5Ex+-+30e%5E%28-x%29+=+-7+ ALIGN=MIDDLE  ALT=\"+e%5Ex+-+30e%5E%28-x%29+=+-7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F30%29%2Ae%5Ex+ ALIGN=MIDDLE  ALT=\"+%281%2F30%29%2Ae%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F30%29%2Ae%5E%282x%29+-+1+=+-7%2A%281%2F30%29%2Ae%5Ex+ ALIGN=MIDDLE  ALT=\"+%281%2F30%29%2Ae%5E%282x%29+-+1+=+-7%2A%281%2F30%29%2Ae%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F30%29%2Ae%5E%282x%29+%2B+7%2A%281%2F30%29%2Ae%5Ex+-+1+=+0+ ALIGN=MIDDLE  ALT=\"+%281%2F30%29%2Ae%5E%282x%29+%2B+7%2A%281%2F30%29%2Ae%5Ex+-+1+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e%5E%282x%29+%2B+7e%5Ex+-+30+=+0+ ALIGN=MIDDLE  ALT=\"+e%5E%282x%29+%2B+7e%5Ex+-+30+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+e%5Ex+%2B+10+%29%2A%28+e%5Ex+-+3+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+e%5Ex+%2B+10+%29%2A%28+e%5Ex+-+3+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e%5Ex+=+-10+ ALIGN=MIDDLE  ALT=\"+e%5Ex+=+-10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the natural log of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+ln%28-10%29+ ALIGN=MIDDLE  ALT=\"+x+=+ln%28-10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There is no log to the base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e ALIGN=MIDDLE  ALT=\"e\"   DISABLED_style= \"max-width:90%; height:auto;\" > that gives<BR>\n" );
document.write( "a negative number, so I can' t solve this<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e%5Ex+=+3+ ALIGN=MIDDLE  ALT=\"+e%5Ex+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+ln%283%29+ ALIGN=MIDDLE  ALT=\"+x+=+ln%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e%5Ex+-+30e%5E%28-x%29+=+-7+ ALIGN=MIDDLE  ALT=\"+e%5Ex+-+30e%5E%28-x%29+=+-7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+30%2A%28+1%2F3%29+=+-7+ ALIGN=MIDDLE  ALT=\"+3+-+30%2A%28+1%2F3%29+=+-7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+10+=+-7+ ALIGN=MIDDLE  ALT=\"+3+-+10+=+-7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-7+=+-7+ ALIGN=MIDDLE  ALT=\"+-7+=+-7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
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