contestada

Which of the functions below is the inverse of the logarithm function?

Linear function
Exponential function
Rational function
Radical function

Respuesta :

exponential function because log deals with finding the exponent so the inverse is an exponential function

Answer:

Option 2 - Exponential function

Step-by-step explanation:

To find : Which of the functions below is the inverse of the logarithm function?

Solution :

The inverse of a logarithmic function is an exponential function.    

As by property of logarithmic,

[tex]y=\log_b(x)\\\Rightarrow x=y^b[/tex]

For example -

Taking log function,

[tex]y=\log_2 x[/tex]

Applying property it convert into exponential function,

[tex]x=2^y[/tex]

The graphs of the logarithmic function and the exponential function are mirror images of one another.

Therefore, Option 2 is correct.