Fixed Point 3.160

    public static void main(String[] args) {
        fixedPointArrange1();
    }

    private static void fixedPointArrange1() {
        double x0 = 1F;
        double x1 = 2F;
        double x2 = 1.5;
        double tol = Math.pow(10F, -6);
        int loop = 50;
        for(int i = 1; i <= loop; i++) {
            x0 = x1;
            x1 = x2;
            x2 = arrange1(x1);
            if(Math.abs(x1-x0) < tol && Math.abs(x2-x0) < tol && Math.abs(x2-x1) < tol) {
                System.out.println("Iteration " + i + ": " + x2);
                break;
            }
            System.out.println("Iteration " + i + ": " + x2);
        }
    }

    private static double arrange1(double x) {
        //The right equation to get 1.904 which is in the bounds [1, 3]
        return Math.log(3*x+1);

        //The wrong equation since it converges to 0 which is not in the bounds [1, 3]
        //return ((1F-Math.pow(Math.E, x))/-3F);
    }