Level 2 Algebra Walkthrough
2025 NCEA Level 2 Algebra Question 3(a)
2025 Paper
Walkthrough overview
What this question practises
This 2025 walkthrough is part of AS91261 — Apply algebraic methods in solving problems.
Method: Solving a logarithm with a variable base.
This is Question 3(a) from the 2025 NCEA Level 2 Algebra paper for AS91261 — Apply algebraic methods in solving problems. Use the guided hints to practise the method before revealing the full working.
Calc.nz is an independent learning resource. Compare questions, diagrams, and assessment information with the official NZQA resources for AS91261.
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Learning summary
Review the method, not only the answer
This walkthrough helps you practise solving a logarithm with a variable base. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Keep logarithm domain restrictions and any inner-function factor visible throughout the working.