Please include detailed steps if you can... this is an exercises problem from Durett's Probability.

2.4.2. Let Xo = (1,0) and define Xn E R2 inductively by declaring that Xn+1 is chosen at random from the ball of radius | X, | centered at the origin, i.e., Xn+1/|X,| is uniformly distributed on the ball of radius 1 and independent of X1, ..., Xn. Prove that n log X, - ca.s. and compute c