#pragma GCC optimize ("O3")
#pragma GCC target ("avx")
#include <bits/stdc++.h>
using namespace std;

int main() {
    int m;
    cin >> m;
    double maxi = exp(10);
    while (m--) {
        int a, b;
        double t;
        scanf("%d %d %lf", &a, &b, &t);
        double ans = 0;
        if (t < 1) {
            double ok = 1.1;
            double ng = 0;
            for (int ii = 0; ii < 35; ii++) {
                double mid = (ok + ng) / 2;
                if (pow(mid, a) * pow(log(mid), b) >= t) {
                    ok = mid;
                } else {
                    ng = mid;
                }
            }
            if (ok < 1 + 1e-6) {
                ans = ok;
                printf("%.20f\n", ans);
                continue;
            }
        }
        {
            double ok = maxi;
            double ng = 1;
            double logT = log(t);
            for (int ii = 0; ii < 44; ii++) {
                double mid = (ok + ng) / 2;
                double logN = log(mid);
                double loglogN = log(logN);
                if (a * logN + b * loglogN >= logT) {
                    ok = mid;
                } else {
                    ng = mid;
                }
            }
            if (ok > 1 + 1e-9) {
                ans = ok;
            }
        }
        printf("%.20f\n", ans);
    }
}