Logarithmic Functions
| Site: | Young Education |
| Course: | Exponential and Logarithmic Functions |
| Book: | Logarithmic Functions |
| Printed by: | Gast |
| Date: | Friday, 25 September 2026, 2:38 AM |
1. Introduction to Logarithms
Learning outcomes
- I can define logarithms as inverse functions.
- I can convert between exponential and logarithmic forms.
- I can evaluate logarithmic expressions.
- I can identify common and natural logarithms.
- I can explain the meaning of logarithms.
2. Graphing Logarithmic Functions
Learning outcomes
- I can sketch logarithmic graphs.
- I can identify domains and ranges.
- I can identify vertical asymptotes.
- I can compare logarithmic and exponential graphs.
- I can interpret logarithmic functions graphically.
3. Properties of Logarithms
Learning outcomes
- I can apply the product rule.
- I can apply the quotient rule.
- I can apply the power rule.
- I can simplify logarithmic expressions.
- I can expand and condense logarithmic expressions.
4. Changing Logarithm Bases
Learning outcomes
- I can apply the change-of-base formula.
- I can evaluate logarithms using technology.
- I can compare logarithms with different bases.
- I can simplify logarithmic calculations.
- I can solve practical logarithmic problems.
5. Applications of Logarithms
Learning outcomes
- I can interpret pH values.
- I can interpret the Richter scale.
- I can interpret sound intensity levels.
- I can analyse logarithmic scales.
- I can solve real-world logarithmic problems.