document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=246762>Question 246762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> e=? (LOG FUNC.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180162 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> e is a constant that is equal to 2.718281828...\r<BR>\n" );
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document.write( "It is an irrational number that has a never ending decimal that goes on and on and on without a repeating pattern to the digits.\r<BR>\n" );
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document.write( "The ln function of your calculator gives you the natural log of a number.\r<BR>\n" );
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document.write( "The natural log of a number is the log of that number to the base of e which is the constant just mentioned above.\r<BR>\n" );
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document.write( "The inverse of the natural log of the number is the base e raised to an exponent.\r<BR>\n" );
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document.write( "The formula looks like this:\r<BR>\n" );
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document.write( "ln(x) = y if and only if e^y = x\r<BR>\n" );
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document.write( "As an example:\r<BR>\n" );
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document.write( "let x = 5\r<BR>\n" );
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document.write( "ln(x) = y if and only if e^y = x becomes:\r<BR>\n" );
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document.write( "ln(5) = y if and only if e^y = 5\r<BR>\n" );
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document.write( "use your calculator to find ln(5) and you get ln(5) = 1.609437912\r<BR>\n" );
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document.write( "substitute in the equation to get:\r<BR>\n" );
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document.write( "ln(5) = 1.609437912 if and only if e^1.609437912 = 5\r<BR>\n" );
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document.write( "use your calculator to find e^1.609437912 and you will see that the answer is 5.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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