Cambridge A Level Mathematics: Pure 3 (9709 Paper 3)

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92 lessons

3.1 · Algebra

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3.2 · Logarithmic and exponential functions

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Logarithms to base 10

Preview12m

Logarithms to base a

Preview12m

The laws of logarithms

13m

Solving logarithmic equations

12m

Solving exponential equations

13m

Solving exponential inequalities

12m

Natural logarithms: e and ln x

13m

The graphs of eˣ and ln x

13m

Solving equations with e and ln

12m

Transforming a relationship to linear form: y = kxⁿ

14m

Transforming a relationship to linear form: y = k(aˣ)

14m

Logarithmic and exponential functions: practice

10m

Logarithmic and exponential functions: exam practice

15m

Logarithmic and exponential functions: summary

3.3 · Trigonometry

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3.4 · Differentiation

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3.5 · Integration

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3.6 · Numerical solutions of equations

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3.1 · Further algebra

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3.4-3.5 · Further calculus

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3.2 · Logarithmic and exponential functionsLesson 10 of 14

Transforming a relationship to linear form: y = kxⁿ

Plot ln y against ln x to get a straight line. The gradient is n and the intercept is ln k.

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