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. …

May 24, 2024 · What are the logarithmic identities in mathematics. Also, learn the natural logarithm rules with examples.

The log rules are very helpful in simplifying the logarithms. These rules are applied in the same manner for both natural logs and common logs. Learn more about logarithm rules along with …

Jul 23, 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, …

Nov 6, 2024 · This page covers all 8 log rules (including the change of base formula and log exponent rules). Each log rule is covered in-depth with simple explanations and examples.

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 …

For simplicity, we'll write the rules in terms of the natural logarithm ln(x) ln (x).

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: …