Question

Let f(x) = 2 ^ x ; its inverse is f ^ - 1 * (x) = log2 x . If f(5) = 32 , what is f ^ - 1 * (32) ?

Answer 1

Answer: 5

Explanation:

f(x) = 2ˣ f⁻¹(x) = log₂ x

f(5) = 2⁵ f⁻¹(32) = log₂ 32

= 32 = log₂ 2⁵

= 5