#define _USE_MATH_DEFINES
#include <cstdio>
#include <iostream>
#include <sstream>
#include <fstream>
#include <iomanip>
#include <algorithm>
#include <cmath>
#include <complex>
#include <string>
#include <vector>
#include <list>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <bitset>
#include <numeric>
#include <limits>
#include <climits>
#include <cfloat>
#include <functional>
#include <iterator>
using namespace std;

int main()
{
    int m;
    cin >> m;

    while(--m >= 0){
        int a, b;
        double t;
        cin >> a >> b >> t;
        t = log(t);

        double left = 1.0;
        double right = 100000.0;
        for(int i=0; i<50; ++i){
            double n = (left + right) / 2.0;
            double x = a * log(n) + b * log(log(n));
            if(x < t)
                left = n;
            else
                right = n;
        }
        printf("%.10f\n", left);
    }

    return 0;
}