Simplify mentally using the properties of logarithms. Give answers as reduced fractions where appropriate.
ln
(
1
e
3
)
\displaystyle {\ln{{\left(\frac{{1}}{{e}^{{3}}}\right)}}}
ln
(
e
3
1
)
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\displaystyle
Enter your answer as a fraction (like 3/5 or 10/4) or as an integer (like 4 or -2)
Do not enter mixed numbers
Enter DNE for Does Not Exist, oo for Infinity