Respuesta :

The answer is C...................

Answer:

Third one will be correct.

Step-by-step explanation:

Given  : y =[tex]log_{8}(x)[/tex].

To find : Graph  and its inverse.

Solution : We have given that

y =[tex]log_{8}(x)[/tex].

For x - intercept , y =0.

y = 0

0 =[tex]log_{8}(x)[/tex].

x = 1

(1,0)

Inverse of  y =[tex]log_{8}(x)[/tex].

Interchange the x and y.

x = [tex]log_{8}(y)[/tex].

Solving for y

y = [tex]8^{x}[/tex].

Then For x = 0

y =  [tex]8^{0}[/tex].

y = 1

For inverse ( 0 ,1)

Then we can see from given graphs Third one will be correct.

Therefore, Third one will be correct.