# Thread: natural logarithm

1. ## natural logarithm

TRUE or FALSE?
The function
$e^{ln x}$
is not defined for all real numbers x.

2. Originally Posted by yoman360
TRUE or FALSE?
The function
$e^{ln x}$
is not defined for all real numbers x.
what do you think the domain is? do all real x work in ln(x)?

3. yeah its false because ln 0 = undefined
x>0

4. Originally Posted by yoman360
yeah its false because ln 0 = undefined
x>0
correct, in fact, it is undefined for all $x \le 0$