Textbook
Chapter 1: Functions
Chapter 2: Quadratic Functions
Chapter 3: Equation Systems
Chapter 4: Indices, Surds and Logarithms
Chapter 5: Progressions
Chapter 6: Linear Law
Chapter 7: Coordinate Geometry
Chapter 8: Vectors
Chapter 9: Solution of Triangles
Chapter 10: Index Numbers
Chapter 4: Indices, Surds and Logarithms
What you need to learn in this chapter
In this chapter, we will be learning about indices, surds, and logarithms.
We will start by understanding the laws of indices, which help us simplify algebraic expressions involving powers.
Next, we will explore the laws of surds, which are square roots or other roots of numbers. These laws will help us simplify and manipulate surds in equations.
Lastly, we will study the laws of logarithms, which are the inverse operations of exponentiation.
Logarithms help us solve equations involving exponents.
Throughout the chapter, we will also learn how to apply these concepts to solve various problems and simplify expressions.
Topics in this chapter
1. Laws of Indices
What you will learn in this topic
- Simplify algebraic expressions involving indices using the laws of indices
- Solve problems involving indices
2. Laws of Surds
What you will learn in this topic
- Compare rational numbers and irrational numbers, and hence relate surds to irrational numbers
- Make and verify conjectures on (i) a^0.5 x b^0.5 (ii) a^0.5/b^0.5 and hence make generalisation
- Simplify expressions involving surds
- Simplify expressions involving surds by rationalising the denominators
- Solve problems involving surds
3. Laws of Logarithms
What you will learn in this topic
- Relate equations in the form of indices and logarithms, and hence determine the logarithm of a number
- Prove laws of logarithms
- Simplify algebraic expressions using the laws of logarithms
- Prove log_b a = log_c a / log_c b and use the relationship to determine the logarithm of a number
- Solve problems involving the laws of logarithms
4. Applications of Indices, Surds and Logarithms
What you will learn in this topic
- Solve problems involving indices, surds and logarithms
Live Tuition Recordings
Masalah Indeks, Surd dan Logaritma dan Rumus T(n) bagi Janjang Aritmetik juga Kertas SPM 2016 P1 Q14
Tutor: Cikgu Jon
Saturday
18 Jun 2022
08:00 pm
Masalah Surd dan Pengenalan kepada Logaritma juga Kertas SPM 2017 P1 Q6
Tutor: Cikgu Jon
Saturday
04 Jun 2022
08:00 pm
Masalah Sistem Persamaan dan Hukum Indeks juga Kertas SPM 2017 P1 Q5
Tutor: Cikgu Jon
Saturday
28 May 2022
08:00 pm
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