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. …

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.

The log rules are very helpful in simplifying the logarithms. These rules are applied in the same manner for both natural logs and common logs. Learn more about logarithm rules along with examples.

Nov 6, 2024 · The following free guide to the Log Rules shares and explains the rules of logs (including exponent log rules), what they represent, and, most importantly, how you can use them to simplify a …

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

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, making …

Exponents and Logarithms are related, let's discover how ... The exponent says how many times to use the number in a multiplication. In this example: 23 = 2 × 2 × 2 = 8. So an exponent gives you this …

There are similar rules for logarithms. (I'll provide proofs for each of the rules. You almost certainly don't need to know these proofs, so feel free to ignore those parts.) 1) Product Rule: logb(mn) = logb(m) + …

Discover the log rules, explore each one of them in detail, and learn some tips on how to apply the logarithm rules easily.

Nov 30, 2025 · Logarithms can seem intimidating at first, but once the core rules click, math gets a whole lot easier. Whenever I’m solving exponential equations or need to simplify something, …