Natural Logarithms

Natural Logarithms

How to solve natral logarithm problems: definition, example, and its solution.

Definition

The natural logarithm is a logarithm with base e. log_e c = ln c.

The natural logarithm is a logarithm
with base e (= 2.718... ).

It is written as 'ln'.
So loge c = ln c.

Example

Simplify the given expression. (Assume ln 2 = 0.69.)

Logarithms of products

Logarithms of powers

ln 2 = 0.69
(given condition)

ln e = 1