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When solving logarithmic equations, extraneous solutions may arise. These are solutions that do not satisfy the domain of the original logarithmic expression. Remember: The domain of a logarithmic function \(\log_{b}{x}\) is \(x > 0\). Check all solutions to ensure they are within the domain. See Related Pages\(\) \(\bullet\text{ Evaluating ...
2 Μαΐ 2024 · Revision notes on Logarithmic Functions for the CIE IGCSE Additional Maths syllabus, written by the Additional Maths experts at Save My Exams.
Logarithm questions with answers are provided for students to solve them and understand the concept elaborately. These questions are based on the logarithm chapter of Class 9, 10 and 11 syllabi.
In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number? Example: How many 2 s multiply together to make 8? Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2 s to get 8. We write it like this: So these two things are the same:
solve simple equations requiring the use of logarithms. Why do we study logarithms ? What is a logarithm ? 4. Exercises. 5. The first law of logarithms. 6. The second law of logarithms. 7. The third law of logarithms. 8. 9. 10. 11. 12. 13. 14. 1. Introduction. In this unit we are going to be looking at logarithms.
Logarithm is another way of writing exponent. The problems that cannot be solved using only exponents can be solved using logs. Learn more about logarithms and rules to work on them in detail.
This is why we teach students about logarithms today. For example, in order to integrate $\frac 1 x$ in calculus, you "need the logarithm". Of course, you could just numerically integrate it, but it's useful to know that the result of that integration is actully a function with certain algebraic properties and which turns up as the answer to ...
