AS/A-Level Maths — Exponentials & Logarithms (with Fully Worked Solutions)

Master one of the most tested topics in AS/A-Level Maths with a workbook built around real past-paper style questions and line-by-line solutions. You’ll learn how to think, not just what to write.

What’s inside

• Laws of logs & indices — simplify, expand, and change base with confidence.
• Solving equations & inequalities — a^x = b, mixed exponential–log equations, and domain/range traps.
• e and the natural logarithm — properties, switching base.
• Functions & graphs — transformations, intersections, asymptotes, and interpreting parameters.
• Modelling growth/decay — linearise with logs, estimate constants from data.
• Calculus with exponentials/logs — differentiate/integrate and apply to problems.

Why students love this book

• Fully worked, exam-style solutions: every step explained, with common pitfalls flagged.
• Graded practice: warm-ups → standard exam questions → stretch problems.
• Well-structured: clean layout, step-by-step solutions with crystal-clear explanations.
• Logical progression: follow fully worked answers you can grasp at a glance.
• Clear, consistent structure from first principles to full exam solutions.
• Tidy formatting, transparent methods, and clear checkpoints for accuracy.
• Straightforward explanations, rigorous methods, and easy-to-scan solutions.

Perfect for

• AS or A-Level students (Year 12/13) aiming for grades 7–9 / A–A*.
• Independent study, targeted topic revision, or last-minute exam sharpening.
• All major UK boards: Edexcel, AQA, OCR, OCR(MEI) (also helpful for CAIE).

Outcome: by the end, you’ll move fluently between exponential and logarithmic forms, model real data, and write exam-ready solutions that secure full marks.