Show that the equation 2log2x=log2(x+a)+32\log_2 x = \log_2(x + a) + 32log2x=log2(x+a)+3, can be expressed in the form x2−8x−8a=0x^2 - 8x - 8a = 0x2−8x−8a=0
Given the equation 2log2x=log2(x+a)+32\log_2 x = \log_2(x + a) + 32log2x=log2(x+a)+3 has only one real root find the value of aaa.
Practise Edexcel A Level Maths Exponentials and Logarithms with exam-style questions for A Level Maths. 41 questions covering 14.1 Exponential Functions, 14.2 y = e^x, 14.3 Exponential Modelling, 14.4 Logarithms, 14.5 Laws of Logarithms, 14.6 Solving Equations using Logarithms, 14.7 Working with Natural Logarithms, and 14.8 Logarithms and Non-Linear Data, 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.
