Curriculum
Pure Mathematics — Second Secondary
Unit 1: Real Functions and Curve Sketching
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Unit 2: Exponents and Logarithms
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Rational Exponents
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Rational Exponents — Lesson quiz
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The Exponential Function and Its Applications
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The Exponential Function and Its Applications — Lesson quiz
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Solving Exponential Equations
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Solving Exponential Equations — Lesson quiz
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The Inverse Function
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The Inverse Function — Lesson quiz
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The Logarithmic Function
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The Logarithmic Function — Lesson quiz
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Properties of Logarithms
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Properties of Logarithms — Lesson quiz
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Unit 3: Limits
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Unit 4: Trigonometry
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Text lesson
The Logarithmic Function
The Logarithmic Function
Common mistakes
Common mistakes
Key points
Forgetting that the argument must be positivethe logarithm is not defined for zero or negative numbers.
Mixing up the two formslog2 8 = 3 because 23 = 8, not the other way round.
Solving incorrectly in exponential formif log3(x − 1) = 2 then x − 1 = 9, not 2 × 3.
Treating a logarithm as a productloga x is not equal to (loga) × x.
The Logarithmic Function · 5 / 6