Which Equation Is Used to Calculate the Half-Life of the First-Order

Which equation is used to calculate the half-life of the first-order equation below? $\mathrm{A} \rightarrow 2 \mathrm{~B}$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { rate }=k[\mathrm{~A}]$

A) t_1/2 = 2 × ln k
B) t_1/2 = (ln k) /[A]_o
C) t_1/2 = ln (k/2)
D) t_1/2 = ln ([A]_o/k)
E) t_1/2 = (ln 2) /k