IP AMaths Notes (Upper Sec, Year 3-4): 02) Logarithms and Exponentials

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08 Nov 2025, 00:00 Z

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Marcus Pang·Managing Director (Maths)

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Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 02) Logarithms and Exponentials cover?
A: Log laws, change of base, and exponential modelling with inverse relationships for IP Additional Mathematics.

Logarithms invert exponentials. Switch comfortably between both forms to linearise growth models and solve equations involving powers.

Keep the full topic roadmap handy via our IP Maths tuition hub so you can jump into related drills, quizzes, or diagnostics as you move through these notes.

These notes align with SEAB GCE O-Level Additional Mathematics (4049) content used in IP programmes (exams from 2025).

Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; remains the reference for this note.

Core facts

Definition: $\log_{a} b = c$ iff $a^{c} = b$

IP AMaths Notes (Upper Sec, Year 3-4): 02) Logarithms and Exponentials

Core facts

Worked example 1 - Solve logarithmic equation

Worked example 2 - Linear law

Worked example 3 - Exponential growth time

Practice Quiz

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