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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.
Logs can be used to solve equations when the unknown occurs as a power. This leaflet explains how.
Cheat sheets, worksheets, questions by topic and model solutions for Edexcel Maths AS and A-level Exponentials and Logarithms
This booklet explains what is meant by a logarithm. It states and illustrates the laws of llogarithms. It explains the standard bases 10 and e. Finally it shows how logarithms can be used to solve certain types of equations.
We use the following two rules for logs : 1. log𝑎(𝑏) −log𝑎(𝑐) =log𝑎(𝑏/𝑐) log a () − log a () = log a (/) 2. log𝑎(𝑝) = 𝑟 ⇒ 𝑝 =𝑎𝑟 log a () = ⇒ = a r. We should check that this solution gives positive values for 𝑥 + + and 𝑥 − − as otherwise the logs are not defined. Substituting this value for 𝑥 into log(𝑥 +) log (+) we get log() log () so OK.
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.
You can use logarithms and your calculator to solve equations of the form ’! = H. You You can also solve more complicated equations by ‘taking logs’ of both sides.
