How do you evaluate ln(e) - 3 ln(1/e) - ln(e^3)?

1 Answer
Mar 29, 2016

If you know that "ln" is the natural logarithm, you might know that is a logarithm in base "e".

Explanation:

ln(e) - 3ln(1/e) - ln(e^3) = 1 - 3(-1) - 3 = 1.

Remember, the answer to a log is the power (exponent).
ln(e) = 1 since e is to the first power.
3ln(1/e) = 3(-1) since e is to the -1 power.
and ln(e^3)=3 since e is to the third power.