1. Pure Mathematics 1

1.1 Quadratics

1.2 Functions

1.3 Coordinate geometry

1.4 Circular measure

1.5 Trigonometry

1.6 Series

1.7 Differentiation

1.8 Integration

3. Pure Mathematics 3

3.2 Logarithmic and exponential functions

3.2.1—Log laws

3.2.2—Exponential and ln

3.2.3—Log equations

3.2.4—Linearising relationships

3.3 Trigonometry

3.4 Differentiation

3.5 Integration

3.6 Numerical solution of equations

3.8 Differential equations

3.9 Complex numbers

4. Mechanics

4.1 Forces and equilibrium

4.2 Kinematics of motion in a straight line

4.3 Momentum

4.4 Newton's laws of motion

4.5 Energy, work and power

5. Probability & Statistics 1

5.1 Representation of data

5.2 Permutations and combinations

5.3 Probability

5.4 Discrete random variables

5.5 The normal distribution

6. Probability & Statistics 2

6.1 The Poisson distribution

6.2 Linear combinations of random variables

6.3 Continuous random variables

6.4 Sampling and estimation

6.5 Hypothesis tests

A-Level CAIE Mathematics A2 3.2.3—Log equations Question Bank

• use logarithms to solve equations and inequalities in which the unknown appears in indices e.g. 25x 1, 32 5<x31# -, 34xx 12 1= -+.

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