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.

We go through the key logarithm rules with clear examples to help you fully understand and apply them in your own math problems.

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.

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

Defining logarithms can be somewhat complex, but essentially they represent the exponent to which a base number must be raised in order to equal a given number.

Aug 13, 2025 · Logarithm is a mathematical function that represents the exponent to which a fixed number, known as the base, must be raised to produce a given number. In other words, it is …

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 …

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