An information theorist studying data compression models determines that the efficiency factor of a specific algorithm is given by ϵ=log27\epsilon = \log_2 7ϵ=log27. A developer claims that this factor is a rational number and can be expressed exactly as a ratio of two integers pq\displaystyle \frac{p}{q}qp. Use the method of proof by contradiction to show that the developer's claim is incorrect.
Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
