LOGaX= r <=> a^r = X
LOG(base 1/16) [(1/2)^(1/3)] = r <=> (1/16)^r = [(1/2)^(1/3)]
[(2)^(-4)]^r = [(1/2)^(1/3)]
(2)^(-4r) = [(2)^(-1)]^(1/3)
(2)^(-4r) = (2)^(-1/3)
-4r = -1/3
4r = 1/3
r = 1/12