# natural logarithm

• Jun 15th 2009, 06:31 PM
yoman360
natural logarithm
TRUE or FALSE?
The function
$e^{ln x}$
is not defined for all real numbers x.
• Jun 15th 2009, 06:32 PM
Jhevon
Quote:

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)?
• Jun 15th 2009, 07:00 PM
yoman360
yeah its false because ln 0 = undefined
x>0
• Jun 15th 2009, 07:25 PM
Jhevon
Quote:

Originally Posted by yoman360
yeah its false because ln 0 = undefined
x>0

correct, in fact, it is undefined for all $x \le 0$