Algebra › Section J · Exponential and logarithmic functions › Topic J.3
Logarithmic functions and their graphs
Every exponential question has a mirror-image question: instead of "what is 2 to the fifth?", the logarithm asks "two to the what is 32?" The answer function is the exponential's inverse - and its graph is the reflection you already know how to draw.
In this topic
- The logarithm, defined
- Common and natural logs
- Worked example: evaluating by rewriting
- The inverse relationship
- Graph features
- Worked example: sketching from points
- Domains of logarithmic functions
- Change of base
- Common mistakes to avoid
- Key takeaways
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