# Logarithm

## Overview

![](/files/-MgBWBPL-_i6AjRt8Ynh)

**Logarithm** performs the inverse function of the **Power Node**. Rather than taking a *base* **Value**, raising it to the power of an *exponent*, and returning the *power*, it takes the *base* **Value**, along with the *power*, and returns the *exponent*.

## Exponentiation-Related Nodes

The **Power**, **nth Root**, and **Logarithm** **Nodes** each relate to *exponentiation*. They all take two *known* parameters and return the 3rd *unknown* **Value**.

![](/files/-MIxaU4waqfwwJMxTJbA)

## Attributes

| Attribute | Type          | Description                                                                                                       |
| --------- | ------------- | ----------------------------------------------------------------------------------------------------------------- |
| `Base`    | **Drop-down** | A selection of common bases used in logarithm functions, which are: `2` (binary), `e` (natural) or `10` (common). |

## Inputs

| Input             | Type      | Description                                                           |
| ----------------- | --------- | --------------------------------------------------------------------- |
| *Pulse Input* (►) | **Pulse** | A standard **Input Pulse**, to trigger the execution of the **Node**. |
| `Input`           | **Float** | The *power* or *antilogarithm* to be used, along with the *base*.     |

## Outputs

| Output             | Type      | Description                                                                                                                            |
| ------------------ | --------- | -------------------------------------------------------------------------------------------------------------------------------------- |
| *Pulse Output* (►) | **Pulse** | A standard **Output Pulse**, to move onto the next **Node** along the **Logic Branch**, once this **Node** has finished its execution. |
| `Output`           | **Float** | The *logarithm* of the *base* and *antilogarithm*.                                                                                     |

## External Links

* [*Logarithmic Functions*](https://www.sparknotes.com/math/precalc/exponentialandlogarithmicfunctions/section2/) on sparknotes.


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