How do you evaluate ln sqrt(e)?

1 Answer
Apr 10, 2016

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