from math import log

q=int(input())

for tests in range(q):
    a,b,t=map(float,input().split())

    # n**a * log(n)**b = t

    MAX = 22027
    MIN = 0

    for tt in range(100):
        mid=(MAX+MIN)/2

        if (mid ** a) *(log(mid)**b)>=t:
            MAX=mid
        else:
            MIN=mid

    print((MAX+MIN)/2)