How do you simplify ln(1/e) ?

1 Answer
Mar 2, 2018

-1

Explanation:

Division rule of logarithms states that:

ln(x/y) = ln(x) - ln(y)

Here we can substitute:

ln(1/e)=ln(1) - ln(e)

1) Anything to the power 0=1

2) ln(e)=1, as the base of natural logarithms is always e

Here, we can simplify:

ln(1)=0
ln(e)=1

Thus:

ln(1)-ln(e)=0-1

=-1

Thus, we have our answer