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Log Rules

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Log Rules

List of operations that can be performed with logarithm functions. They include:

$\log_{b} (x \cdot y) = \log_{b} (x) + \log_{b} (y)$
$\log_{b} (\frac{x}{y}) = \log_{b} (x) - \log_{b} (y)$
$\log_{b} (x^{n}) = n \cdot \log_{b} (x)$
$\log_{b} (x) = \frac{\log_{a} (x)}{\log_{a} (b)}$

Index

How to Use - How to Use

Chapter 5 - Powers and Logarithms

Glossary and deeper reading · 1 refreshers

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Logarithm
A logarithm gives the exponent required to obtain a number from a specified base. For real logarithms, the argument is positive and the base is positive and different from 1. For example, log₂8=3 because 2³=8, while ln uses the base e. Logarithm rules convert products into sums and powers into constant multiples, subject to the domain restrictions.

Logarithm

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