Learn the eight (8) log rules or laws to help you evaluate, expand, condense, and solve logarithmic equations. Try out the log rules practice problems for an even better understanding.

The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. The logarithm of the multiplication of x and y is the sum of logarithm of x and …

Logarithm Laws: Video Lesson What are the Laws of Logarithms? The laws of logarithms are algebraic rules that allow for the simplification and rearrangement of logarithmic expressions. …

In less formal terms, these three log rules might be expressed as: 1) Product Rule: Multiplication inside the log can be turned into addition outside the log, and vice versa. 2) Quotient Rule: …

Log rules are rules that are used to operate logarithms. Since logarithm is just the other way of writing an exponent, we use the rules of exponents to derive the logarithm rules. There are …

Discover the log rules, explore each one of them in detail, and learn some tips on how to apply the logarithm rules easily.

Dec 27, 2025 · Out of all these log rules, three of the most common are product rule, quotient rule, and power rule. These laws are crucial in many mathematical and scientific applications, …

Jan 5, 2026 · logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which …

There are a number of logarithm rules, properties, and identities that can be used when working with logarithms. They can be particularly useful for manipulating and solving algebraic …

The following table gives a summary of the logarithm rules. Scroll down the page for more explanations and examples on how to use the rules to simplify and expand logarithmic …