Which of the Following Equations Shows the Correct Relationship Between $\frac { N _ { t } } { N _ { 0 } }$

Which of the following equations shows the correct relationship between the half-cell of a nuclide and the radioactive decay rate constant?

A) ln $\frac { N _ { t } } { N _ { 0 } }$ = - $\frac{k}{t}$

B) $\frac { N _ { t } } { N _ { 0 } }$ = - ln $\frac{k}{t}$

C) $t 1 / 2$ = 0.693 × k
D) $t 1 / 2$ = $\frac { k } { 0.693 }$
E) $t 1 / 2$ = $\frac { 0.693 } { k }$