How do you simplify #ln(1/e) #?

1 Answer
Mar 2, 2018

Answer:

#-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