x的x次幂的值为10，求x的近似值

public class Main {
    static double eps = 1e-7;
    public static void main(String[] args){
        double l = 2,r = 3,mid;
        while(l+eps < r){
            mid = (l+r)/2;
            if(Math.pow(mid,mid) < 10)
                l = mid;
            else
                r = mid;
        }
        System.out.printf("%.6f\n",l);
    }
}