If $\operatorname{Sinh}^{-1} x=\log 3$ and $\operatorname{Cosh}^{-1} y=\log \frac{3}{2}$, then $\operatorname{Tanh}^{-1}(x-y)=$

• Correct answer
  A

  $\log \sqrt{\frac{5}{3}}$
• B

  $\log \frac{5}{3}$
• C

  $\log \frac{4}{3}$
• D

  $\log \frac{2}{\sqrt{3}}$

Hence, the correct answer is option: 'A'.