document.write( "Question 338196: Approximately one-half of all glass bottles distributed will be recycled each year. 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\r
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Algebra.Com's Answer #242436 by nerdybill(7384) $\"\"$ $\"About$

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Approximately one-half of all glass bottles distributed will be recycled each year. 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
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\n" ); document.write( "Simply set N(t) to 5000 and solve for t:
\n" ); document.write( " $\"+N%28t%29=310%2C000%281%2F2%29%5Et+\"$
\n" ); document.write( " $\"+5000+=+310000%281%2F2%29%5Et+\"$
\n" ); document.write( " $\"+5000%2F310000+=+%281%2F2%29%5Et+\"$
\n" ); document.write( " $\"+5%2F310+=+%281%2F2%29%5Et+\"$
\n" ); document.write( " $\"+1%2F62+=+%281%2F2%29%5Et+\"$
\n" ); document.write( " $\"+log%281%2F2%2C1%2F62%29+=+t+\"$
\n" ); document.write( "applying change of base:
\n" ); document.write( " $\"+log%281%2F62%29%2Flog%281%2F2%29+=+t+\"$
\n" ); document.write( "6 years = t \r
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