Question

What is the domain of F(x) = In (x)?

A: all real numbers except 0
B: all real numbers
C: all real numbers less than 0
D: all real numbers greater than 0

Answer 1

Answer: D. All real numbers greater than 0

In terms of symbols, we would write
`x > 0`

The natural log function, or any log function, is not defined for x = 0 or any negative x value.

Consider the form
`\log_b(y) = x` which is equivalent to
`y = b^x` and notice how the y value slowly approaches zero but never actually gets there. That is one way to see why the inputs of any log function must be larger than 0.

Answer 2

the answer is B

Explanation: