document.write( "Question 982683: A radio active isotope decays according to the exponential decay equation where t is in days. \r
\n" ); document.write( "\n" ); document.write( "Round to the thousandths place. \r
\n" ); document.write( "\n" ); document.write( "For the half life: The half life is the solution (t) of the equation :
\n" ); document.write( "a/2=ae^−4.457t
\n" ); document.write( "

Algebra.Com's Answer #603484 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "a/2=ae^−4.457t
\n" ); document.write( "Using a = 10 and a/2 = 5
\n" ); document.write( "a/2=ae^−4.457t
\n" ); document.write( "5 = 10 e^-4.457t
\n" ); document.write( "5/10 = e^4.457t
\n" ); document.write( "0.5 = e^-4.457t
\n" ); document.write( "ln0.5 = -4.457t ln e (ln e = 1)
\n" ); document.write( "ln 0.5 = -4.457t
\n" ); document.write( "t = ln 0.5/-4.457
\n" ); document.write( "t = 0.156 days
\n" ); document.write( "Hope this helps:-)
\n" ); document.write( "
\n" );