document.write( "Question 202856: The half life of Carbon-14 is 5730 years. How long would it take for a sixteen gram sample to decay to 1 gram? \n" ); document.write( "
Algebra.Com's Answer #153012 by RAY100(1637)\"\" \"About 
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x=x(0) * 2^(-t/h),,,,where h = half life, x(0) start matl, x= end matl,,,t=time
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\n" ); document.write( "1=(16) *2^(-t/5730)
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\n" ); document.write( "1/16 =2^(-t/5730)
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\n" ); document.write( "remember log a^b = b* log a
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\n" ); document.write( "log (1/16) = (-t/5730) * log 2
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\n" ); document.write( "log(1/16) / log(2) = -t/5730
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\n" ); document.write( "-4 = -t/5730
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\n" ); document.write( "+22,920 = t,,,(yrs)
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\n" ); document.write( "check, 16 * 2^(-22920/5730) = 1,,,,,ok\r
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