document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=714848>Question 714848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show work please: solve the equation.<BR>\n" );
document.write( "e^x+9e^-1<BR>\n" );
document.write( "--------- =3<BR>\n" );
document.write( "2\r<BR>\n" );
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document.write( "a.) what is the solution in terms of natural logarithms?<BR>\n" );
document.write( "b.) what is the decimal approximation for the solution?\r<BR>\n" );
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document.write( "note: numerator is e^x+9e^-1<BR>\n" );
document.write( "denominator is 2\r<BR>\n" );
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document.write( "thank you for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439016 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=439016\">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=+%28+e%5Ex+%2B+9%2Ae%5E%28-1%29+-+1+%29+%2F+2+=+3+ ALIGN=MIDDLE  ALT=\"+%28+e%5Ex+%2B+9%2Ae%5E%28-1%29+-+1+%29+%2F+2+=+3+\"   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+%2B+9%2Ae%5E%28-1%29+-+1++=+6+ ALIGN=MIDDLE  ALT=\"++e%5Ex+%2B+9%2Ae%5E%28-1%29+-+1++=+6+\"   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+%2B+9%2Ae%5E%28-1%29+=+7+ ALIGN=MIDDLE  ALT=\"++e%5Ex+%2B+9%2Ae%5E%28-1%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=+e%5Ex+=+7+-+9%2Ae%5E%28-1%29+ ALIGN=MIDDLE  ALT=\"+e%5Ex+=+7+-+9%2Ae%5E%28-1%29+\"   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=+e+ ALIGN=MIDDLE  ALT=\"+e+\"   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%28+x+%2B+1+%29+=+7e+-+9+ ALIGN=MIDDLE  ALT=\"+e%5E%28+x+%2B+1+%29+=+7e+-+9+\"   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+%2B+1+=+ln%28+7e+-+9+%29+ ALIGN=MIDDLE  ALT=\"++x+%2B+1+=+ln%28+7e+-+9+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+ln%28+7e+-+9+%29+-+1+ ALIGN=MIDDLE  ALT=\"+x+=+ln%28+7e+-+9+%29+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e+=+2.71828+ ALIGN=MIDDLE  ALT=\"+e+=+2.71828+\"   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%28+7%2A2.71828+-+9+%29+-+1+ ALIGN=MIDDLE  ALT=\"+x+=+ln%28+7%2A2.71828+-+9+%29+-+1+\"   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%28+19.02797+-+9+%29+-+1+ ALIGN=MIDDLE  ALT=\"+x+=+ln%28+19.02797+-+9+%29+-+1+\"   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%28+10.02797+%29+-+1+ ALIGN=MIDDLE  ALT=\"+x+=+ln%28+10.02797+%29+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+2.30538+-+1+ ALIGN=MIDDLE  ALT=\"+x+=+2.30538+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+1.30538+ ALIGN=MIDDLE  ALT=\"+x+=+1.30538+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+e%5Ex+%2B+9%2Ae%5E%28-1%29+-+1+%29+%2F+2+=+3+ ALIGN=MIDDLE  ALT=\"+%28+e%5Ex+%2B+9%2Ae%5E%28-1%29+-+1+%29+%2F+2+=+3+\"   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%5E1.30538+%2B+9%2F2.71828+-+1+%29+%2F+2+=+3+ ALIGN=MIDDLE  ALT=\"+%28+e%5E1.30538+%2B+9%2F2.71828+-+1+%29+%2F+2+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+3.689091+%2B+3.310917+-+1+%29+%2F+2+=+3+ ALIGN=MIDDLE  ALT=\"+%28+3.689091+%2B+3.310917+-+1+%29+%2F+2+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+7.0000082+-+1+%29+%2F+2+=+3+ ALIGN=MIDDLE  ALT=\"+%28+7.0000082+-+1+%29+%2F+2+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6.0000082+=+6+ ALIGN=MIDDLE  ALT=\"+6.0000082+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "close enough\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );