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1.5 Exponentials and logarithms

1.5 Exponentials and logarithms

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Question 24
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

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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.

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Markscheme

1.5 Exponentials and logarithms Questions

  1. A Level
  2. /Maths
  3. /1.5 Exponentials and logarithms

77 exam-style questions on CCEA A Level Maths 1.5 Exponentials and logarithms, covering 1.5.1 Exponentials and logarithms, 1.5.2 Exponentials and logarithms, 1.5.3 Exponentials and logarithms, 1.5.4 Exponentials and logarithms, 1.5.5 Exponentials and logarithms, 1.5.6 Exponentials and logarithms, 1.5.7 Exponentials and logarithms, and 1.5.8 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.

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