Some results in the law of logarithm for NA sequences are obtained, which a
re similar to the result of id random variables; as a corollary, a sufficie
nt result for the bounbed law of logarithm for NA arrays is given. Meanwhil
e, A conjecture for id random variables of Gut is answered in NA setting. U
nder weaker moment conditions than Su and Qin's, a stronger convergence res
ult than their Theorem 1 is obtained.