Exponentials and Logarithms | OCR A-Level Maths | 40 Worked Examples (H240)

A complete worked-solutions pack on Exponentials and Logarithms for OCR A A-Level Mathematics A (H240, spec 1.06a to 1.06g). Forty exam-style questions ramp from Easy to Challenging, every one fully worked with one atomic step per line, a plain-English note on every line, and OCR mark-scheme codes (M/A/B) folded in exactly where the real scheme awards them. Covers the index-to-logarithm equivalence, log_a a and log_a 1, the natural log and e as inverse functions, the three laws of logarithms, solving a^x = b by taking logs, and the harder disguised-quadratic exponentials (in e^x, 2^x and 3^x). Calibrated to OCR’s own style: the ‘detailed reasoning’ (DR) instruction, exact-form answers in ln and e, and the domain rejection of invalid log roots. Change of base is excluded, matching the H240 spec, so nothing off-syllabus is taught. Ideal for revision, homework, cover lessons and one-to-one tuition. Created by a Bath engineering undergraduate and practising maths tutor.