MGF of log chi-square

Let $X$ follow a 10-dimensional multivariate normal distribution with zero mean vector and identity covariance matrix. Define $Y = \log_{e} \sqrt{X^T X}$ and let $M_Y(t)$ denote the moment generating function of $Y$ at $t$, $t > -10$. Then $M_Y(2)$ equals __________ (answer in integer).