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Exponentials and Logarithms

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Question 152
a.

Show that the equation 2log⁡2x=log⁡2(x+a)+32\log_2 x = \log_2(x + a) + 32log2​x=log2​(x+a)+3, can be expressed in the form x2−8x−8a=0x^2 - 8x - 8a = 0x2−8x−8a=0

[3]
b.

Given the equation 2log⁡2x=log⁡2(x+a)+32\log_2 x = \log_2(x + a) + 32log2​x=log2​(x+a)+3 has only one real root, find the possible values 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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