Support · Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions
Support Explain that y = a^x is equivalent to x = log_ay for a > 0 and a≠1, and use the equivalence to solve equations of the form a^x = b, for a > 0
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
Recognise equivalence where y = a^x is equivalent to x = log_ay where a > 0and a≠1
Stage 5 · Logarithms (Path) Draft mapping
No checked resources on this prerequisite dot point yet.
Solve simple equations that involve exponents or logarithms
Stage 5 · Logarithms (Path) Draft mapping
- WorksheetDrillKuta free worksheet: Exponential equationsUse it for: Printable skills-practice sheet with answer key on exponential equations; good for drill or homework.
- WorksheetDrillKuta free worksheet: Logarithmic equationsUse it for: Printable skills-practice sheet with answer key on logarithmic equations; good for drill or homework.
Use graphing applications to compare and contrast graphs for the functions y = a^x and y = log_ax
Stage 5 · Logarithms (Path) Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.