Graph y = log8^x and its inverse
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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.