OICC Press Journal of Theoretical and Applied Physics 2251-7235 17 1 2023 11 17 Holographic entanglement entropy in the fourth-order scale-invariant gravity 10.57647/j.jtap.2023.1701.02 EN Mohammad Reza Tanhayi Department of Physics, Faculty of Basic Science, Islamic Azad University Central Tehran Branch (IAUCTB), P.O. Box 14676‑86831, Tehran, Iran 0000-0003-0907-4842 Tahereh Hamedi Department of Physics, Faculty of Basic Science, Islamic Azad University Central Tehran Branch (IAUCTB), P.O. Box 14676‑86831, Tehran, Iran Journal Article 2023 11 17 In this paper, we use the holographic method to compute the entanglement entropy for different regions in the fourth-order scale-invariant theory of gravity. In four dimensions, the action of scale-invariant gravity contains a parameter where the moduli space has some distinguished points, precisely, the space of solutions contains the Log-gravity and for this specific solution, we compute the entanglement entropy. We also use the numerical method to investigate mutual information and tripartite information. Moreover, we make a comment on the sign of these quantities.