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 …

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.

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.

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, …

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. …

Use the rules of logarithms to rewrite this expression in terms of logx and logy. Now, apply the quotient rule and then the power rule. Formula and example problems for the product rule, …

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: …

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 …

The laws of logarithms showing how they align with exponent rules. Includes examples.

How to apply the Logarithm rules: product rule, quotient rule, power rule, change of base rule, summary of the logarithm rules, how to expand logarithmic expression, how to write …