Additional mathematics form 4 indices and logarithms pdf

In the same way that we have rules or laws of indices, we have laws of logarithms. Chapter 3 add math form 4 add math chapter 6 form 4 kssm form 4 add maths chapter 2 quadratic functions 2. We have not yet given any meaning to negative exponents, so n must be greater than m for this rule to make sense. Mr low a full time tutor from malaysia, passionate about teaching mathematics for pmr maths, spm additional maths, spm modern maths and international school maths included sat,gcse, checkpoint, igcse syllabus. Indices any expression written as an is defined as the variable a raised to the power of the number n n is called a power, an index or an exponent of a e. Additional mathematics form 4 answers question bank chapter 1 functions 1. Expressed mathematically, x is the logarithm of n to the base b if b x n, in which case one writes x log b n. Success additional mathematics form 4 ebook elearning. Similarly, the logarithmic form of the statement 21 2 is log2 2 1. Logarithms to base e such as log 3e and log e x are called natural logarithms or napierian logarithms. For example, 100102 can be converted into logarithmic form which is.

Mathematics stack exchange is a question and answer site for people studying math at any level and professionals in related fields. In words, to divide two numbers in exponential form with the same base, we subtract their exponents. Indices and logarithms cloned spm question 2006, paper 1 solve the equation 3 5 3 1 27 9 x x. Tutorial 5 indices, logarithms and function this is the one of a series of basic tutorials in mathematics aimed at beginners or anyone wanting to refresh themselves on fundamentals. The equation is then solved by equating the indices. Additional mathematics indices and logarithms examples. We can see from the examples above that indices and logarithms are very closely related. It promotes blended learning which enhances learning experience. Logarithms can be used to solve equations such as 2 x 3, for x. Additional mathematics law of indices and logarithms. Use the rules of indices to simplify each of the following and where possible evaluate. In this video, you will learn all the basic and important skill of logarithms.

In most of the cases, the question you encounter in your cie gce o level additional mathematics questions is a mixture of multiplication and division of numbers with different indices in a form of equation. If 2n n 3 7 1, find the possible values of n which satisfy the given equation. For students who complete csec mathematics in the fourth form year, additional mathematics can be. Additional mathematics 0606, 2 hours, 80 marks, answer all question, calculator allowed. Besides that, you will learn how to solve simultaneous equation, indices and logarithms, coordinate geometry, statistics, circular measurements, differentiation, solution of triangles and index numbers. One of my ideas is to prepare a booklet made by yourselfspm format,have formulas,introduction and plenty good questions which is easier to understand by students when newly brought the topic,this way it would save time to speed up to finish. Find the values of x in each of the following equations. Prove that a b a c b c b a c a c b a b 1 x b a 1 1 x 1 1 x x 1 1 x x 1 1 x x 1. Given that log x 2 a and log x 3 b, write log x 9 2 4 x in term of a and b. Logarithm, the exponent or power to which a base must be raised to yield a given number. Additional mathematics module form 4chapter 5 indices and. On completion of this tutorial you should be able to do the following.

A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. It is evident that indices and logarithm are related and one can change from one form to the other, i. Additional mathematics form 4 answers pelangi books. In senior mathematics, competency in manipulating indices is essential, since they are used extensively in both differential and integral calculus. Chapter 9 add math form 4 spm add maths form 4 quadratic equation roots, alfa and beta this is one of the famous type of past year question, which will ask you to form a new quadratic equation using the roots given. Additional mathematics form 4 answers question bank. Form 4, 5 additional mathematics note, module, exercise. Feb 28, 2015 understand the 5 main laws of indices and learn to use log in your calculations. Success additional mathematics spm pages 1 50 text. Apply the theory of indices and logarithms into calculations with 4 different examples. Additional mathematics law of indices and logarithms mr sai mun. Special or derived laws other laws of indices include law 4 zero power. Additional mathematics form 4 click to download your exercises here.

These laws only apply to expressions with the same base, for example, 3 4 and 3 2 can be manipulated using the law of indices, but we cannot use the law of indices to manipulate the expressions 3 5 and 5 7 as their base differs their bases are 3 and 5. In general, we call them as common logarithms base 10. Mar 07, 2015 apply the theory of indices and logarithms into calculations with 4 different examples. When the bases on both sides of the equation are the same, the indices on both sides of the equation must be the same. The growth and decay may be that of a plant or a population, a crystalline structure or money in the bank. Common logarithms can be evaluated using a scientific calculator. Form 4 additional mathematics course outline 202015 term 1 proposed date topic modules sept 1 surds, indices and logarithms inequalities perform operations involving surds laws of indices laws of logarithms relationship between indices and logs solve indices and log equations october 2 coordinate geometry 1 coordinate geometry 2. In words, to divide two numbers in exponential form with the same base, we subtract. Alternatively students may begin additional mathematics in the fourth form and sit both csec mathematics and additional mathematics examinations at the end of form five. Success additional mathematics form 4 ebook provides an interactive digital environment for students to revise and prepare for the spm additional mathematics papers. Understand the 5 main laws of indices and learn to use log in your calculations. Expressing the equation as a single logarithms form to the same base. If 2n n 3 7 1, find the possible values of n which satisfy the given. On completion of this lesson the student will be able to select functions from relations by referring to the domain and range.

Indices, surds, and logarithms gce study buddy the best o level revision resource. The logarithm of a number to a base of the same number is 1, i. Besides that, this video provides a lot of useful examples to make sure you can fully understand the fundamental of. In many applications of mathematics, we can express numbers as powers of. It is very important in solving problems related to growth and decay. Perfect maths useful mathematics tutorials for checkpoint.

For students who complete csec mathematics in the fourth form year, additional mathematics can be done in the fifth form year. Spm form 4 additional mathematics chapter 5 indices and logarithms. Spm form 4 additional mathematics chapter 5 indices and. To manipulate expressions, we can consider using the law of indices. Indices, surds and logarithms equation mathematics stack. Assessment 2 functions definition, domain and range objective. Worked examples on indices and logarithms questions and answers on indices and logarithms. Additional mathematics dditionalmath mathematics dditionalmath mathematics dditionalmath syllabus. In the same fashion, since 10 2 100, then 2 log 10 100. Thus, to differentiate or integrate a function such as, it is first necessary to convert it to index form.

Additional mathematics module form 4chapter 5 indices and logarithms smk agama arau, perlispage 46chapter 5 indices and logarithms5. For example, if, then, where index 4 becomes the logarithms and 2 as the base. Functions 4 surds, indices and logarithms 5 series 4 2 coordinate geometry 3 14 vectors 3 trigonometry 8. Puan ruzihan dear teacher, if you dont mind,i wanna recommend some of my ideas that i would like you to see and tell me what you think about it. You can find notes and exam questions for additional math, elementary math, physics, biology and chemistry. Learn indices and surds in just 11 minutes from this video lesson. Spm add maths form 4 logarithms basic to advance 1 duration. Mathematics learning centre, university of sydney 2 this leads us to another general rule.

Additional mathematics 060623, 2 hours, 80 marks, answer all question, calculator allowed. Indices and surds gce additional mathematics titbits. Additional mathematics no item paper 1 34721 paper 2 34722 1 type of instrument subjective test. Kbsm form 4 additional mathematics based on the spm form 4 additional mathematics syllabus. Tips and notes for english, general paper, and composition writing are also provided. Introduction in developing the additional mathematics syllabus, cognisance was taken of the need to broaden the form 1 4 mathematics and accommodate students with high ability in the learning area and as well provide a solid base for further studies in mathematics and other. The log where you can find from calculator is the common. Write the following using logarithms instead of powers a 82 64 b 35 243 c 210 1024 d 53 125. Nov 06, 2014 spm form 4 additional mathematics chapter 5 indices and logarithms. Knowledge of the index laws for positive integer powers. Form 4 update 18908 01 functions absolute value function inverse function if y fx, then f. Prove that a b a c b c b a c a c b a b 1 x b a 1 1 x 1.