IB DP Maths: AA HL復(fù)習(xí)筆記1.2.1 Introduction to Logarithms
What are logarithms?
- A logarithm is the inverse of an exponent
- This is in the formula booklet
- Your GDC will be able to use this function to solve equations involving exponents
- Try to get used to ‘reading’ logarithm statements to yourself
Two important cases are:
Why use logarithms?
- Logarithms allow us to solve equations where the exponent is the unknown value
- We can solve some of these by inspection
- For example, for the equation 2x?= 8 we know that?x?must be 3
- Logarithms allow use to solve more complicated problems
- For example, the equation 2x?= 10 does not have a clear answer
- For example, the equation 2x?= 10 does not have a clear answer
- 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
Solve the following equations:
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