#include <bits/stdc++.h>

using namespace std;

int main() {
	cin.tie(0);
	ios::sync_with_stdio(false);
	int m;
	cin >> m;
	for (int i = 0; i < m; i++) {
		int a, b;
		double t;
		cin >> a >> b >> t;
		double ok = 0.0, ng = 1e20;
		for (int j = 0; j < 100; j++) {
			double mid = (ok + ng) / 2;
			double time = pow(mid, a) * pow(log(mid), b);
			if (time > t) ng = mid;
			else ok = mid;
		}
		cout << fixed << setprecision(10) << ok << endl;
	}
	return 0;
}