What is the domain of y = log Subscript 5 Baseline x?

all real numbers less than 0
all real numbers greater than 0
all real numbers not equal to 0
all real numbers

Respuesta :

Answer:

For this case we have this function given:

[tex] y = log_5 (x)[/tex]

In order to find the domain we need to find the possible values of x that the function can assume.

And we know that for this case the logarithm for 0 or neagtive numbers is not possible to calculate it, so then we can say that the domain for this case is:

[tex] x> 0[/tex]

And we can write this in formal notation as:

[tex] D = [ X \in R | X>0][/tex]

And the best answer for this case would be:

all real numbers greater than 0

Step-by-step explanation:

For this case we have this function given:

[tex] y = log_5 (x)[/tex]

In order to find the domain we need to find the possible values of x that the function can assume.

And we know that for this case the logarithm for 0 or neagtive numbers is not possible to calculate it, so then we can say that the domain for this case is:

[tex] x> 0[/tex]

And we can write this in formal notation as:

[tex] D = [ X \in R | X>0][/tex]

And the best answer for this case would be:

all real numbers greater than 0

The domain of the function is: (b) all real numbers greater than 0

The domain of a function is the set of input values the function can take

The function is given as:

[tex]y = log_5x[/tex]

The above function cannot take negative values or 0

This means that, the possible values of x are positive values

Hence, the domain of the function is: (b) all real numbers greater than 0

Read more about domain at:

https://brainly.com/question/1770447