Overview
Exercise 3.1
Exercise 3.2
Exercise 3.3
Exercise 3.4
Review Exercise
MCQ’s
In Class 9th Math, Unit 3 covers the concept of Logarithms, an essential mathematical tool used to simplify complex calculations, particularly in dealing with large numbers, exponential growth, and scientific data.
A logarithm is the inverse operation of exponentiation. While exponents deal with multiplying a number by itself multiple times, logarithms help determine the power to which a number (called the base) must be raised to produce a given value. For example, in the logarithmic expression logb(x)=y\log_b(x) = ylogb(x)=y, by=xb^y = xby=x. This unit teaches students how to convert between exponential and logarithmic forms.
Logarithms are widely used in various fields, such as physics, engineering, and economics, for solving problems involving exponential growth (like population growth or compound interest) and decay (like radioactive decay or depreciation). They are also vital for simplifying calculations in scientific notation and are commonly used in calculators and computers for quick and accurate computations.
Learning about logarithms helps students grasp how to handle numbers on a large scale, understand the properties of growth and decay, and solve equations that involve exponents. Mastery of logarithms is critical for further mathematical studies, especially in algebra, calculus, and higher-level science courses.