  We prove that the blowup term of a blowup solution of Jang's equation on an
initial data set (M,g,k) near an arbitrary strictly stable MOTS $ \Sigma $ is
exactly $ -\frac{1}{\sqrt{\lambda}}\log \tau $, where $ \tau $ is the distance
from $ \Sigma $ and $ \lambda $ is the principal eigenvalue of the MOTS
stability operator of $ \Sigma $. We also prove that the gradient of the
solution is of order $ \tau^{-1} $. Moreover, we apply these results to get a
Penrose-like inequality under additional assumptions.
