Solve for a:
c = (log(b))/(log(a))
c = (log(b))/(log(a)) is equivalent to (log(b))/(log(a)) = c:
(log(b))/(log(a)) = c
Take the reciprocal of both sides:
(log(a))/(log(b)) = 1/c
Multiply both sides by log(b):
log(a) = (log(b))/c
Cancel logarithms by taking exp of both sides:
Answer: | a = b^(1/c)