document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236978>Question 236978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2= 5e^-0.35h\r<BR>\n" );
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document.write( "Your are trying to find H  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174334 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=174334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 = 5e^-0.35h\r<BR>\n" );
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document.write( "divide both sides of the equation by 5 to get:\r<BR>\n" );
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document.write( "2/5 = e^(-.35h)\r<BR>\n" );
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document.write( "take natural log of both sides to get:\r<BR>\n" );
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document.write( "ln(2/5) = ln(e^(-.35h)\r<BR>\n" );
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document.write( "since log(b^x) = x*log(b), your equation becomes:\r<BR>\n" );
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document.write( "ln(2/5) = -.35h * (ln(e))\r<BR>\n" );
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document.write( "since ln(e) = 1, your equation becomes:\r<BR>\n" );
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document.write( "ln(2/5) = -.35h\r<BR>\n" );
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document.write( "divide both sides by -.35 to get:\r<BR>\n" );
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document.write( "ln(2/5)/(-.35) = h\r<BR>\n" );
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document.write( "since ln(2/5) = (-.916290732), your equation becomes:\r<BR>\n" );
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document.write( "(-.916290732)/(-.35) = h\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "h = 2.61797352\r<BR>\n" );
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document.write( "to prove this is correct, replace h in the original equation to get:\r<BR>\n" );
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document.write( "2/5 = e^(-.35h) becomes:\r<BR>\n" );
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document.write( "2/5 = e^(-.35*2.61797352)\r<BR>\n" );
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document.write( "this becomes:\r<BR>\n" );
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document.write( "2/5 = e^(-.916290732)\r<BR>\n" );
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document.write( "this becomes:\r<BR>\n" );
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document.write( ".4 = .4 confirming the answer is correct.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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