Question

For the half life: the half life is the solution (t) of the equation: a/2= ae^-3.392t

Answer 1

The given equation for the half life is
$\frac{a}{2} =a e^{-3.392t}$

Divide each side by a to obtain
$\frac{1}{2}= e^{-3.392t}$

Take the natural log of each side to obtain
ln(1/2) = -3.392t
Therefore
$t= \frac{ln(1/2)}{-3.392} =0.2043$

Answer: t = 0.2043