document.write( "Question 1171697: A certain pain reliever has a half-life of 16 hours. If the initial plasma level of this pain reliever, given as a single dose, is 512mg/L, how long will it take for the plasma level to fall to 16mg/L? \n" ); document.write( "
Algebra.Com's Answer #796615 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "A certain pain reliever has a half-life of 16 hours. If the initial plasma level of this pain reliever, given as a single dose, is 512mg/L, how long will it take for the plasma level to fall to 16mg/L?
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It's not nearly as complex as the other person makes it out to be.
\n" ); document.write( "With ½-life being 16 hours, DECAY CONSTANT, or \"matrix%281%2C5%2C+k%2C+%22=%22%2C+ln%281%2F2%29%2F16%2C+%22=%22%2C+-+.04332%29\"
\n" ); document.write( "The CONTINUOUS GROWTH/DECAY formula: \"matrix%281%2C3%2C+A%2C+%22=%22%2C+A%5Bo%5De%5E%28kt%29%29\", then becomes: \"matrix%281%2C3%2C+16%2C+%22=%22%2C+512e%5E%28-+.04332t%29%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+-+.04332t%2C+%22=%22%2C+ln%2816%2F512%29%29\" ------- Converting to LOGARITHMIC (Natural) form
\n" ); document.write( "\"matrix%281%2C3%2C+-+.04332t%2C+%22=%22%2C+ln%281%2F32%29%29\"
\n" ); document.write( "Time taken for the plasma level to fall to 16 mg/L, or \n" ); document.write( "
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