The Natural Log Examples

Evaluate lne¹⁰⁰.

We can use the fact that ln and e are inverses of one another. It is demonstrated with the above problem, and that leaves us with a very harmless answer, 100.

Evaluate 

Break out those calculators again. Divide and round. Our result will be approximately 4.907.

Rewrite  in sums and differences.

Again, we need to use the same properties that we mentioned in this section. Remember these:

Properties of Logarithms

Product Rule: ln ab = ln a + ln b
Quotient Rule:
Power Rule: ln a^b = bln a

So the answer will be: 3lnm + 2lnn – 4lnp.

Convert log₅ 625 to natural logs and then evaluate.