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

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Answer 1 · 2018-03-02T13:38:48

#-1#

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