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
Properties of Logarithms
Properties of Logarithms
Common mistakes
Common mistakes
Key points
Splitting the logarithm of a sumlog(x + y) is not equal to log x + log y. The law applies only to products.
Confusing a product of logarithms with a logarithm of a productlog x × log y is a different quantity from log(xy).
Forgetting the domain after combiningan answer may fail the condition that every argument is positive, so always check.
Wrong quotient lawlog(x / y) = log x − log y, not log x ÷ log y.
Properties of Logarithms · 4 / 5