Which answer represents the domain of the logarithmic function given below? F(x) = log8x
a. x 0
b. x < 0
c. x > 0
d. All real number
ASAP !!!!

Respuesta :

Answer:

C. [tex]x>0[/tex]

Step-by-step explanation:

Given: [tex]f(x)=log(8x)[/tex]

To find the domain of a logarithmic function, we need to take the argument, 8x, and set it greater to zero. This is because an argument of a logarithmic function cannot be zero or negative.

[tex]8x>0[/tex]

[tex]x>0[/tex]

So since x is greater than zero, we have just found out our domain:

Interval Notation: (0, ∞)

Set Notation: {[tex]x|x>0[/tex]}

Answer:

x > 0

Step-by-step explanation:

I just got it right on 9.6.3