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.

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. …

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 …

When we need to expand a logarithm into multiple logarithms or compress multiple logarithms into a single logarithm, we use the logarithm rules. These rules are derived from the rules of …

May 24, 2024 · Logarithm rules are the properties or the identities of the logarithm that are used to simplify complex logarithmic expressions and solve logarithmic equations involving variables.

In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, …

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.

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, …

Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8.

In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number?