An engineer studying signal processing identifies a scaling factor S=log23S = \log_{2} 3S=log23.
Use the method of proof by contradiction to prove that SSS is an irrational number.
132 exam-style questions on OCR (MEI) A Level Maths 1.1 Proof, covering 1.1.1 Structure of mathematical proof, 1.1.2 Disproof by counter example, 1.1.3 Proof by contradiction (A-level only), and 1.1 Proof. Each one has a worked solution and a mark scheme showing where the marks go.