#include <iostream>
#include <vector>
#include <cstdio>
#include <sstream>
#include <map>
#include <string>
#include <algorithm>
#include <queue>
#include <cmath>
#include <functional>
#include <set>
#include <ctime>
#include <random>
#include <chrono>
#include <cassert>
#include <tuple>
#include <utility>
using namespace std;

namespace {
  using Integer = long long; //__int128;
  template<class T, class S> istream& operator >> (istream& is, pair<T,S>& p){return is >> p.first >> p.second;}
  template<class T> istream& operator >> (istream& is, vector<T>& vec){for(T& val: vec) is >> val; return is;}
  template<class T> istream& operator ,  (istream& is, T& val){ return is >> val;}
  template<class T, class S> ostream& operator << (ostream& os, const pair<T,S>& p){return os << p.first << " " << p.second;}
  template<class T> ostream& operator << (ostream& os, const vector<T>& vec){for(size_t i=0; i<vec.size(); i++) os << vec[i] << (i==vec.size()-1?"":" "); return os;}
  template<class T> ostream& operator ,  (ostream& os, const T& val){ return os << " " << val;}

  template<class H> void print(const H& head){ cout << head; }
  template<class H, class ... T> void print(const H& head, const T& ... tail){ cout << head << " "; print(tail...); }
  template<class ... T> void println(const T& ... values){ print(values...); cout << endl; }

  template<class H> void eprint(const H& head){ cerr << head; }
  template<class H, class ... T> void eprint(const H& head, const T& ... tail){ cerr << head << " "; eprint(tail...); }
  template<class ... T> void eprintln(const T& ... values){ eprint(values...); cerr << endl; }

  class range{ Integer start_, end_, step_; public: struct range_iterator{ Integer val, step_; range_iterator(Integer v, Integer step) : val(v), step_(step) {} Integer operator * (){return val;} void operator ++ (){val += step_;} bool operator != (range_iterator& x){return step_ > 0 ? val < x.val : val > x.val;} }; range(Integer len) : start_(0), end_(len), step_(1) {} range(Integer start, Integer end) : start_(start), end_(end), step_(1) {} range(Integer start, Integer end, Integer step) : start_(start), end_(end), step_(step) {} range_iterator begin(){ return range_iterator(start_, step_); } range_iterator   end(){ return range_iterator(  end_, step_); } };

  inline string operator "" _s (const char* str, size_t size){ return move(string(str)); }
  constexpr Integer my_pow(Integer x, Integer k, Integer z=1){return k==0 ? z : k==1 ? z*x : (k&1) ? my_pow(x*x,k>>1,z*x) : my_pow(x*x,k>>1,z);}
  constexpr Integer my_pow_mod(Integer x, Integer k, Integer M, Integer z=1){return k==0 ? z%M : k==1 ? z*x%M : (k&1) ? my_pow_mod(x*x%M,k>>1,M,z*x%M) : my_pow_mod(x*x%M,k>>1,M,z);}
  constexpr unsigned long long operator "" _ten (unsigned long long value){ return my_pow(10,value); }

  inline int k_bit(Integer x, int k){return (x>>k)&1;} //0-indexed

  mt19937 mt(chrono::duration_cast<chrono::nanoseconds>(chrono::steady_clock::now().time_since_epoch()).count());

  template<class T> string join(const vector<T>& v, const string& sep){ stringstream ss; for(size_t i=0; i<v.size(); i++){ if(i>0) ss << sep; ss << v[i]; } return ss.str(); }

  inline string operator * (string s, int k){ string ret; while(k){ if(k&1) ret += s; s += s; k >>= 1; } return ret; }
}
constexpr long long mod = 9_ten + 7;

double calc(long double a, long double b, long double t, long double init_x){
  long double lgt = log(t);
  auto f = [&](long double x){
    long double lgx = log(x);
    return a*lgx + b*log(lgx) - lgt;
  };
  auto f_ = [&](long double x){
    long double lgx = log(x);
    return (a*lgx + b) / (x*lgx);
  };

  long double x = init_x;
  for(int t=0; t<25; t++){
    x = x - f(x) / f_(x);
  }
  return x;
}

double calc2(long double a, long double t, long double init_x){
  long double lgt = log(t);
  auto f = [&](long double x){
    long double lgx = log(x);
    return a*lgx - lgt;
  };
  auto f_ = [&](long double x){
    return a/x;
  };

  long double x = init_x;
  for(int t=0; t<25; t++){
    x = x - f(x) / f_(x);
  }
  return x;
}

double calc3(long double b, long double t, long double init_x){
  long double lgt = log(t);
  // auto f = [&](long double x){
  //   return b*log(log(x)) - lgt;
  // };
  // auto f_ = [&](long double x){
  //   return b/(x*log(x));
  // };

  auto g = [&](long double x){
    long double lgx = log(x);
    return x * lgx * (b * log(lgx) - lgt) / b;
  };

  long double x = init_x;
  for(int t=0; t<10; t++){
    x = x - g(x);//f(x) / f_(x);
  }
  return x;
}


int main(){
  int n;
  scanf("%d", &n);
  while(n--){
    double a,b,t;
    scanf("%lf%lf%lf", &a,&b,&t);

    long double x = 1.0001;
    double ans;
    if(b<0.1){
      x = 20.0001;
      ans = calc2(a,t,x);
      while(isnan(ans)){
        x *= 0.8;
        //if(x<1.0) x += 11.4514;
        ans = calc2(a,t,x);
      }
    }else if(a<0.1){
      x = 20.0001;
      ans = calc3(b,t,x);
      while(isnan(ans)){
        x *= 0.8;
        //if(x<1.0) x += 11.4514;
        ans = calc3(b,t,x);
      }
    }else{
      ans = calc(a,b,t, x);
    }

    assert(isnan(ans) == false);

    printf("%.22f\n", ans);
  }

  return 0;
}