ProtoFlux:Log

Logₑ

N

*

Math

The Log node takes in a number we are trying to get to and already provides us the base as e, which represents approximately 2.71828. This is called the natural logarithm (often written as ln), and returns the result of how many times of base e to get that number that was provided.

Usually written as ln⁡(x)

This natural logarithm asks a question: What power must e be raised to, in order to get x?.

Inputs

N (Pseudo-generic)

The number we are searching for using the base (e).

Outputs

* (Pseudo-generic)

Returns the exponent result.

Examples

Example: Using e

   Start with the equation:
   ln⁡(e³) = ?

   Understand the question:
   We're asking: "What power must e be raised to, in order to get e³?"

   Since e is already raised to the power of 3, the answer is simply 3. So:
   ln⁡(e³) = 3

Example: ln⁡(7.389)

   Start with the equation:
   ln⁡(7.389) = ?

   Use the definition:
   We need to find the power to which e must be raised to get approximately 7.389.

   Using a calculator:
   When you calculate ln⁡(7.389), you get:
   ln⁡(7.389) ≈ 2

   This means:
   e² ≈ 7.389

Flux Examples

Log Example 01
Log Example 02