Question

Describe the domain of the logarithmic function, y = log10 x.

all numbers greater than or equal to zero
all numbers less than zero
all numbers greater than zero

Answer 1

C). all numbers greater than zero

Explanation:

We have been given a logarithmic function
`y=\log_(10)x`.

Now we need to find about what is the domain of the given function then match with the correct choice from the given choices:

A). all numbers greater than or equal to zero

B). all numbers less than zero

C). all numbers greater than zero

By definition of logarithmic function we know that log is not defined for 0 or negative values.

Hence domain of given function must be

C). all numbers greater than zero

Answer 2

Hello!

The answer is:

The third option,

All numbers greater than zero.

Why?

The logarithmic function exists only from the numbers greater than zero to all the positive numbers, we must remember that the logarithmic function is the inverse to the exponential function, which domain is equal to all numbers greater than zero.

Hence, the answer is the third option:

All numbers greater than zero.

I have attached a picture for better understanding.

Have a nice day!