lnY = A + C * exp {- exp [- B *(X - M)]}
(lnY - A )/C= exp {- exp [- B *(X - M)]}
ln[(lnY - A )/C] =- exp [- B *(X - M)]
-ln{-ln[(lnY - A )/C]} /B=X - M
X=M-ln{-ln[(lnY - A )/C]} /B
lnY = A + C * exp {- exp [- B *(X - M)]}
(lnY - A )/C= exp {- exp [- B *(X - M)]}
ln[(lnY - A )/C] =- exp [- B *(X - M)]
-ln{-ln[(lnY - A )/C]} /B=X - M
X=M-ln{-ln[(lnY - A )/C]} /B