# Are #lne# and #lne^x# the same?

##### 1 Answer

Feb 16, 2017

No

#### Explanation:

As

# ln e \ \= 1 #

# ln e^x = x #

These are clearly not the same.

If we could not directly evaluate then we can use the fact that for any base

# log_b A = log_b B iff A=B #

and again it is clear that