Solve for a:
7 (log(a)+log(c)) = log(b)
Divide both sides by 7:
log(a)+log(c) = (log(b))/7
Subtract log(c) from both sides:
log(a) = (log(b))/7-log(c)
(log(b))/7-log(c) = log(b^(1/7))+log(1/c) = log(b^(1/7))+log(1/c) = log(b^(1/7)/c):
log(a) = log(b^(1/7)/c)
Cancel logarithms by taking exp of both sides:
Answer: |a = b^(1/7)/c