How do you evaluate #ln sqrt(e)#?

1 Answer
Apr 10, 2016

Answer:

#1/2#

Explanation:

Recall that: #sqrtn=n^(1/2:#

We can now express your equation as:
#lnsqrte=lne^(1/2)#

Recall that: #log_na^m=mlog_na#

We can further simplify the given equation:

#lne^(1/2)=1/2lne#

Recall that: #lne=log_ee=1#

We can now say that:

#1/2lne=1/2(1)=1/2#

Therefore, #lnsqrte=1/2#