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.

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 product rule of logarithms states that a single logarithm can be separated into the sum of individual logarithms which have inputs that multiply to make the input of the original logarithm.

By the product rule of logarithms, the log of a product of two terms is equal to the sum of logs of individual terms. i.e., the rule says log b mn = log b m + log b n.

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 · According to the power rule, the logarithm of a number raised to an exponent equals the exponent multiplied by the logarithm of the base. Formula: loga(Xn) = n × logaX. …

The operations involving logarithms can be summarized in seven rules. These rules unveil some nice properties of logarithms, such as their capacity to turn multiplication into addition and …

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 …

Master logarithm multiplication rules with step-by-step practice problems. Learn to convert log (xy) = log (x) + log (y) and solve complex logarithmic equations.