#include "iostream"
#include "time.h"
#include "stdlib.h"
#include "iomanip"
#include "math.h"
#include "algorithm"
#include "functional"

using namespace std;

int m;
double a, b, t;
double l,r;
double mid;
int start_t;
int end_t;
int num;

int main() {
	cin >> m;
	//start_t = clock();
	for (int i = 0; i < m; i++) {
		cin >> a >> b >> t;
		//a = rand() % 9+1;
		//b = rand() % 9+1;
		//t = rand() % 9+1;
		l = 0;
		r = 10000;
		num = 0;
		while (num<35) {
			mid = (l + r) / 2;
			if (pow(mid, a)*pow(log(mid), b) > t) {
				r = mid;
			}
			else {
				l = mid;
			}
			num++;
			//cout << setprecision(15) << mid << "\n";
		}
		cout << setprecision(15) << mid << "\n";
	}
	//end_t = clock();
	//cout << end_t - start_t;
	return 0;
}