document.write( "Question 1138573: A doctor prescribes 300 milligrams of a therapeutic drug that decays by about 17% each hour. To the nearest tenth, what is the half-life of the drug? \n" ); document.write( "
Algebra.Com's Answer #756361 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
The decrease is 17% per hour or (0.83)^t, where t is number of hours.
\n" ); document.write( "So want 0.5=0.83^t
\n" ); document.write( "ln of both sides
\n" ); document.write( "-0.693=t ln (0.83)
\n" ); document.write( "t=3.719 hours or 3.7 hours
\n" ); document.write( "
\n" );