Which of the following relations represents the correct relation between standard electrode potential and equilibrium constant?
$I$. $\log K = \frac{nF E^o}{2.303 RT}$
$II$. $K = e^{\frac{nF E^o}{RT}}$
$III$. $\log K = -\frac{nF E^o}{2.303 RT}$
$IV$. $\log K = 0.4342 \frac{nF E^o}{RT}$
Choose the correct statement$(s)$.

• A
  $I$,$II$ and $III$ are correct
• B
  $II$ and $III$ are correct
• C
  $I$,$II$ and $IV$ are correct
• D
  $I$ and $IV$ are correct