Simplifying fractions 18_
24

The inverse of  logarithmic function

f⁻¹(x)    

Step-by-step explanation:

Explanation:-

Given f(x) = log₂ˣ    ( 2 is a radical)

Let x₁  and x₂ be the ∈ domain f

⇒f(x₁) = f(x₂)

⇒  

⇒  x ₁ = x₂

Therefore f(x) is one-one function

Let y = f(x) = log₂ˣ

  ⇒  y =  log₂ˣ

 ⇒    

f(x) is a one-one function and onto

⇒    

⇒ f⁻¹(x)    

The inverse of  logarithmic function

f⁻¹(x)