#include <iostream>
#include <math.h>
using namespace std;

int main() {
	int m;
	scanf("%d", &m);
	for (int i = 0; i < m; i++) {
		int a, b;
		double t;
		scanf("%d %d %lf", &a, &b, &t);
		
		double l = 0;
		double r = 30000;
		for (int j = 0; j < 45; j++) {
			double mid = (l + r) / 2;
			
			double f = pow(mid, a) * pow(log(mid), b);
			if (f >= t) {
				r = mid;
			} else {
				l = mid;
			}
		}
//		printf("a %d b %d t %.10f\n", a, b, t);
		printf("%.10f\n", r);
	}

	return 0;
}