document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=301820>Question 301820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Approximately one-half of all glass bottles distributed will be recycled each yesr, A beverage company distributes 310,000 bottles. The number still in use after t years is given by the function N(t) = 310,000(1/2)^t. After how many years will 5,000 bottles still be in use?\r<BR>\n" );
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document.write( "Let N(t) = 5,000 and solve for t. <BR>\n" );
document.write( "5,000 = 310,000(1/2)^(t) \r<BR>\n" );
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document.write( "I do not know how to solve it from here Please Help!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216491 by </B><A HREF=/tutors/aboutme.mpl?userid=london+maths+tutor><B>london maths tutor(243)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=london+maths+tutor><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=london+maths+tutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=216491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> N(t) = 310 000 (1/2) ^t\r<BR>\n" );
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document.write( "5000 = N(t)\r<BR>\n" );
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document.write( "5000 = 310 000 (1/2) ^t\r<BR>\n" );
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document.write( "5000/31000 = (1/2)^t\r<BR>\n" );
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document.write( "1/62 = (1/2)^t\r<BR>\n" );
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document.write( "Using log: \r<BR>\n" );
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document.write( "t = [ lg(1/62) ] / [ lg (1/2) ] <BR>\n" );
document.write( "  = 5.95 years  </SPAN>\n" );
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