Real Area Hyperbolic Tangent of x over a in Logarithm Form

Theorem

 * $\tanh^{-1} \dfrac x a = \dfrac 1 2 \map \ln {\dfrac {a + x} {a - x} }$

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


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


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