Most calculators have buttons for natural logarithms (ln) and common logarithms (log or log10), but not all calculators have buttons for the logarithm of an arbitrary base.

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 logarithm of y. …

We learn the laws of logarithms that allow us to simplify expressions with logarithms. The three rules: addition, subtraction and power rule are taught here. The formula are given and illustrated with …

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

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 3 main …

Jan 5, 2026 · The procedures of trigonometry were recast to produce formulas in which the operations that depend on logarithms are done all at once. The recourse to the tables then consisted of only two …

Nov 16, 2022 · We give the basic properties and graphs of logarithm functions. In addition, we discuss how to evaluate some basic logarithms including the use of the change of base formula.

In your algebra class, you'll use the log rules to "expand" and "condense" logarithmic expressions. The expanding is what I did in the first in each pair of examples above; the condensing is the second in …

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, making …