Math Example: Laws of Logarithms: Example 02

Topic

Logarithms

Description

This example illustrates the simplification of log of 4 plus log of 25 using logarithm properties. The solution applies the property that the sum of logarithms equals the logarithm of the product of their arguments. Here, log(4) + log(25) simplifies to log(100), which further simplifies to log(10²), resulting in 2.

Understanding the Laws of Logarithms is essential for manipulating and simplifying logarithmic expressions. These examples provide students with practical applications of these laws, helping them develop problem-solving skills and mathematical intuition. By working through various scenarios, students learn to recognize patterns and apply appropriate strategies.

Exposure to multiple worked-out examples is crucial for students to fully comprehend logarithmic concepts. Each example presents a unique situation, allowing students to see how the laws of logarithms can be applied in different contexts. This repetition reinforces understanding and builds confidence in tackling complex problems.

Teacher's Script: As we work through this example, pay attention to how we combine logarithms with the same base. This property is fundamental in simplifying logarithmic expressions. Can you think of a real-world scenario where this type of calculation might be useful?

For a complete collection of math examples related to Logarithms click on this link: Math Examples: Laws of Logarithms Collection.