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

Step-by-step explanation:

f(x) = 2ˣ                   f⁻¹(x) = log₂ x

f(5) = 2⁵                f⁻¹(32) = log₂ 32

     = 32                         = log₂ 2⁵

                                      =  5