IB DP Maths: AI HL復習筆記1.2.2 Logarithms
Introduction to Logarithms
What are logarithms?
Why use logarithms?
- Logarithms allow us to solve equations where the exponent is the unknown value
- We can solve some of these by inspection
Exam Tip
- Before going into the exam, make sure you are completely familiar with your GDC and know how to use its logarithm functions
Worked Example
Laws of Logarithms
What are the laws of logarithms?
- Laws of logarithms allow you to simplify and manipulate expressions involving logarithms
- The laws of logarithms are equivalent to the?laws of indices
These laws are?in the formula booklet?so you do not need to remember them
- You must make sure you know how to use them
Useful results from the laws of logarithms
- These useful results are?not in the formula booklet?but can be deduced from the laws that are
Laws of logarithms can be used to …
- simplify expressions
- solve logarithmic equations
- solve exponential equations
Exam Tip
- Remember to check whether your solutions are valid
- log (x+k) is only defined if x > -k
- You will lose marks if you forget to reject invalid solutions
Worked Example
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