Question

Graph y = log8^x and its inverse

Answer 1

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

Answer 2

Third one will be correct.

Explanation:

Given : y =
`log_(8)(x)`.

To find : Graph and its inverse.

Solution : We have given that

y =
`log_(8)(x)`.

For x - intercept , y =0.

y = 0

0 =
`log_(8)(x)`.

x = 1

(1,0)

Inverse of y =
`log_(8)(x)`.

Interchange the x and y.

x =
`log_(8)(y)`.

Solving for y

y =
`8^(x)`.

Then For x = 0

y =
`8^(0)`.

y = 1

For inverse ( 0 ,1)

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

Therefore, Third one will be correct.