Question

Question #e4cf1

Answer 1

I tried this:

Explanation:

Your function is the natural logarithm or logarithm in base `e`.
This function can accept all Real values bigger than zero; because the definition of log:
`log_bx=y`
`x=b^y`
zero cannot be found in the sense that:
`ln0=???` no real number can be found to fulfill the requirement that `e^y=0`. For sure `x` cannot be negative because it is not possible to find an exponent that makes a number negative.

So the domain will be:

`0 < x < +oo`

The range will be all the Real number so that `y` will be:

`-oo < y < +oo`

Graphically we see this as:
graph{ln(x) [-12.66, 12.65, -6.33, 6.33]}