document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135752>Question 1135752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.	(6 pts) Based on data about the growth of a particular species of tree, the following logarithmic model was determined: \r<BR>\n" );
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document.write( "               h(t) = 5.902 ln(t) + 6.137,  where  t = age of tree in years and h (t) = height of tree, in feet.    <BR>\n" );
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document.write( "Using the model, <BR>\n" );
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document.write( "		(a)At age 4 years, how tall is this type of tree, to the nearest tenth of a foot?\r<BR>\n" );
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document.write( "		(b) At age 13 years, how tall is this type of tree, to the nearest tenth of a foot?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753408 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=753408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula is h(t) = 5.902 * ln(t) + 6.127.<BR>\n" );
document.write( "t = age of tree in years.<BR>\n" );
document.write( "h(t) = height of tree, in feet).\r<BR>\n" );
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document.write( "at age 4, the formula becomesw h(4) = 5.902 * ln(4) + 6.127 = 14.30890932 feet. = 14 feet.\r<BR>\n" );
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document.write( "at age 13, the formula becomes h(13) = 5.902 * ln(13) + 6.127 = 21.26533111 feet = 21 feet.\r<BR>\n" );
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document.write( "ln is the natural log function which is the invetrse of the exponential function.\r<BR>\n" );
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document.write( "by definition, ln(x) = y if and only if y = e^x.\r<BR>\n" );
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document.write( "for example, if x = 5, then e^5 = 148.4131591 and ln(148.4131592) = 5.\r<BR>\n" );
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document.write( "you can use your calculator to confirm.\r<BR>\n" );
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