document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4318>Question 4318</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is  ln(ln X)=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1951 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln+x+ ALIGN=MIDDLE  ALT=\"ln+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ex ALIGN=MIDDLE  ALT=\"e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and vice-versa.  Because of this inverse definition, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28ln+x%29+=+x ALIGN=MIDDLE  ALT=\"e%5E%28ln+x%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln+e%5Ex+=+x+ ALIGN=MIDDLE  ALT=\"ln+e%5Ex+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "Therefore, in order to \"undo\" the first \"ln\", you must raise both sides of the equation as a power of e.  In other words, write \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Eln%28ln+x%29+=+e%5E2 ALIGN=MIDDLE  ALT=\"e%5Eln%28ln+x%29+=+e%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So this simplifies to <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln+x+=+e%5E2 ALIGN=MIDDLE  ALT=\"ln+x+=+e%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, raise both sides as a power of e again:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln+x+=+e%5E2 ALIGN=MIDDLE  ALT=\"ln+x+=+e%5E2\"   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%5Eln+x+=+e%5E%28e%5E2%29 ALIGN=MIDDLE  ALT=\"e%5Eln+x+=+e%5E%28e%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Final answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+e%5E%28e%5E2%29 ALIGN=MIDDLE  ALT=\"+x+=+e%5E%28e%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 from SCC </SPAN>\n" );
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