Curriculum
General Mathematics — Second Secondary
Unit 1: Real Functions and Curve Sketching
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Unit 2: Exponents, Logarithms and Applications
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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 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
Solving Exponential Equations
Solving Exponential Equations
Common mistakes
Common mistakes
Key points
Equating exponents without a common basefrom 2x = 3x we cannot conclude anything by equating the exponents, because the bases differ.
Misreading 2x + 1the whole expression x + 1 is the exponent, not 2x + 1.
Accepting a negative value of the substitutionif y = 2x, then y is always positive.
Wrong conversion to a common base4x = 22x, not 2x.
Solving Exponential Equations · 4 / 5