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Exponentials and Logarithms

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Question 81
a.

Show that the equation x2−16x−16a=0(x>0, x+a>0)x^2 - 16x - 16a = 0\quad (x>0,\ x+a>0)x2−16x−16a=0(x>0, x+a>0), can be expressed in the form 2log⁡2x=log⁡2(x+a)+42\log_2 x = \log_2(x + a) + 42log2​x=log2​(x+a)+4

[3]
b.

Given the equation x2−16x−16a=0x^2 - 16x - 16a = 0x2−16x−16a=0 has only one real root find the value of aaa.

[3]
Markscheme

Exponentials and Logarithms Questions

  1. A Level
  2. /Maths
  3. /Exponentials and Logarithms

277 exam-style questions on Edexcel A Level Maths Exponentials and Logarithms, 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. Each one has a worked solution and a mark scheme showing where the marks go.

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