Real Area Hyperbolic Tangent of x over a in Logarithm Form

Theorem

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

Also see

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


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


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


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


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