document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144824>Question 144824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x:<BR>\n" );
document.write( "e^x = 5\r<BR>\n" );
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document.write( "e^e^x = 2<BR>\n" );
document.write( "(e to the e to the x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105508 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=105508\">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=5 ALIGN=MIDDLE  ALT=\"e%5Ex=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5Ex%29=ln%285%29 ALIGN=MIDDLE  ALT=\"ln%28e%5Ex%29=ln%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Aln%28e%29=ln%285%29 ALIGN=MIDDLE  ALT=\"x%2Aln%28e%29=ln%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the left side using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=ln%285%29 ALIGN=MIDDLE  ALT=\"x=ln%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of e to get 1\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=ln%285%29 ALIGN=MIDDLE  ALT=\"x=ln%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.60944 ALIGN=MIDDLE  ALT=\"x=1.60944\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-----------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ee%5Ex=2 ALIGN=MIDDLE  ALT=\"e%5Ee%5Ex=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5Ee%5Ex%29=ln%282%29 ALIGN=MIDDLE  ALT=\"ln%28e%5Ee%5Ex%29=ln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ex%2Aln%28e%29=ln%282%29 ALIGN=MIDDLE  ALT=\"e%5Ex%2Aln%28e%29=ln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the left side using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ex=ln%282%29 ALIGN=MIDDLE  ALT=\"e%5Ex=ln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of e to get 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5Ex%29=ln%28ln%282%29%29 ALIGN=MIDDLE  ALT=\"ln%28e%5Ex%29=ln%28ln%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides again\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Aln%28e%29=ln%28ln%282%29%29 ALIGN=MIDDLE  ALT=\"x%2Aln%28e%29=ln%28ln%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the left side using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=ln%28ln%282%29%29 ALIGN=MIDDLE  ALT=\"x=ln%28ln%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of e to get 1\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=ln%28ln%282%29%29 ALIGN=MIDDLE  ALT=\"x=ln%28ln%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-0.36651 ALIGN=MIDDLE  ALT=\"x=-0.36651\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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