Logarithmic Functions

Convert simple expressions between exponential and logarithmic form and evaluate logarithms of common bases by hand.

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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-ALG-ER-P-Y10-05

Resources

Terminology

  • Logarithm
  • Logarithmic form
  • Exponential form
  • Log laws
  • Product rule
  • Quotient rule
  • Power rule
  • Common base
  • Asymptote

Task goals

  • Foundation: Convert simple expressions between exponential and logarithmic form and evaluate logarithms of common bases by hand.
  • Proficient: Apply the laws of logarithms (product, quotient, power) to simplify expressions and solve straightforward logarithmic equations.
  • Excellence: Solve more complex equations combining exponential and logarithmic terms, and sketch or interpret logarithmic graphs including transformations and asymptotic behaviour.

Where this fits

What leads into this objective, and where it goes next.

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Logarithmic Functions

Logarithmic Functions

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