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

Mar 15, 2025 · Learn how to solve logarithms using the logarithmic product rule and quotient rule, with advice from math teacher Grace Imson, MA.

Learn about the properties of logarithms that help us rewrite logarithmic expressions, and about the change of base rule that allows us to evaluate any logarithm we want using the calculator.

Examples of Using Logarithm Laws The three most important logarithm laws are shown below with an example of each.

Expressed in terms of common logarithms, this relationship is given by log mn = log m + log n. For example, 100 × 1,000 can be calculated by looking up the logarithms of 100 (2) and 1,000 (3), …

In this video, I’ll break down how to solve logarithmic equations step by step using logarithm rules, properties, and real examples. Whether you're preparing for a test or just need a refresher...

Dec 26, 2024 · Learn the basics of logarithms, their properties, and practical applications in science, engineering, finance, and technology. Ideal for beginners.

Since taking a logarithm is the opposite of exponentiation (more precisely, the logarithmic function logb x log b x is the inverse function of the exponential function bx b x), we can derive the basic rules for …

Jul 5, 2025 · Master logarithm calculations with our comprehensive guide. Learn fundamental concepts, properties, and step-by-step methods to solve logarithmic equations efficiently.

Calculators and computer software can help you find logarithms for more complex numbers. Remember that logarithms have useful properties, such as the product rule (logb (x * y) = logb (x) + logb (y)) and …