#define _CRT_SECURE_NO_WARNINGS
#include<sstream>
#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<climits>
#include<cmath>
#include<string>
#include<vector>
#include<set>
#include<map>
#include<queue>
#include<numeric>
#include<functional>
#include<algorithm>
#include<bitset>
#include<tuple>
#include<unordered_set>
#include<unordered_map>
#include<random>
using namespace std;
#define INF (1<<29)
#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define all(v) v.begin(),v.end()
#define uniq(v) v.erase(unique(all(v)),v.end())



double mpow(double a, int b) {
	double res = 1;
	while (b) {
		if (b & 1)res *= a;
		a *= a;
		b >>= 1;
	}
	return res;
}


int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);

	int m;
	cin >> m;
	rep(i, m) {
		int a, b;
		double t;
		cin >> a >> b >> t;
		double lb = 0, ub = 100000;
		rep(j, 50) {
			double mid = (lb + ub) / 2;
			if (mpow(mid, a)*mpow(log(mid), b) <= t) {
				lb = mid;
			}
			else {
				ub = mid;
			}
		}
		printf("%.12f\n", lb);
	}

	return 0;
}