Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-5
New NZC (2026)
NZC26-P4-NUM-NSO-K-Y10-04
Resources
- CorbettMaths - Solving Index EquationsQuestions PDF · Answers
Terminology
- exponent
- index
- base
- common base
- power
- equate indices
Task goals
- Foundation: Solve equations where one side is already a power of the same base as the other, such as 2^x = 16.
- Proficient: Rewrite one or both sides as a power of a common base (including negative and fractional exponents) before equating indices, such as 9^x = 27.
- Excellence: Solve equations with the unknown exponent appearing in a linear expression or on both sides, such as 3^(2x-1) = 81^x, including checking for extraneous or no solutions.
Where this fits
What leads into this objective, and where it goes next.
Before
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Solving Exponential Equations
Also under NA6-5:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.