Real Area Hyperbolic Secant of x over a in Logarithm Form

Theorem

 * $\operatorname{sech}^{-1} \dfrac x a = \ln \left({\dfrac {a + \sqrt{a^2 - x^2} } x}\right)$

Also see

 * $\sinh^{-1} \dfrac x a$ in Logarithm Form


 * $\cosh^{-1} \dfrac x a$ in Logarithm Form


 * $\tanh^{-1} \dfrac x a$ in Logarithm Form


 * $\coth^{-1} \dfrac x a$ in Logarithm Form


 * $\operatorname{csch}^{-1} \dfrac x a$ in Logarithm Form