given log_b a = c, which statement is true? (the b is subscript)

Question

a. a = b^c
b. c = a^b
c. c = b^a
d. a = c^b

Answer 1

I always made my students memorize this pattern
2^3 = 8 <------> log₂ 8 = 3

match it to your given question.

Answer 2

or

remember this property:
the base of the logarithm is the base of your power.