document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68062>Question 68062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How large do you need to make x so that e^(-x/9) that is less than 0.1?\r<BR>\n" );
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document.write( "I tried inputting values for x and I came up with 21 as the value for x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48360 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=48360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> make x so that e^(-x/9) that is less than 0.1<BR>\n" );
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document.write( "e^(-x/9)< 0.1<BR>\n" );
document.write( "Take the natural log of both sides to get:<BR>\n" );
document.write( "-(x/9) = ln(0.1)<BR>\n" );
document.write( "-(x/9) < -2.3026<BR>\n" );
document.write( "Multiply both sides by -1 to switch the inequality:<BR>\n" );
document.write( "x/9> 2.3026<BR>\n" );
document.write( "Multiply both sides by 9 to get:<BR>\n" );
document.write( "x>20.7233<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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