About this lesson
This video is another in the Variation series for the Year 11 General Maths course. Looking at logarithms, I explain what a logarithm is and how it allows is to manage large numbers by making them "smaller". I look at examples of transforming numbers into logs (and back again). I then look at logarithmic (log) transforms to help us linearise data to find a rule linking the orginal data sets. There are a number of worked examples using the CAS with each being explained in an easy to understand way.
Lesson chapters
- Welcome
- Learning objectives
- Recap of past learning
- What are logs?
- Powers, powers everywhere ...
- Logs are just powers of 10
- Logs can be negative too!
- Example of negative logs
- Not all numbers are nice and easy to turn into logs
- Quick check
- Finding a number from its logarithm
- Orders of magnitude
- Example: Orders of magnitude
- Back to transforming data!
- Example: Logarithmic (Log) Transformation
- Example 2: Using a CAS for a Log Transform
- Example 3: Understanding logs
- Learning objectives: Revisited
Legal (VCAA)
VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au
Video details
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Title
Logarithms and Log Transforms
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Section
Variation
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Course
General Maths Units 1 and 2
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