Skip to content

Course home

1.6 Exponentials and Logarithms

1.6 Exponentials and Logarithms

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778
Question 38
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

1.6 Exponentials and Logarithms Questions

  1. A Level
  2. /Maths
  3. /1.6 Exponentials and Logarithms

104 exam-style questions on OCR A Level Maths 1.6 Exponentials and Logarithms, covering 1.6.1 Properties of the exponential function, 1.6.2 Gradient of e^(kx) (A-level only), 1.6.3 Definition of the logarithm, 1.6.4 The natural logarithm function, 1.6.5 ln x as inverse of e^x, 1.6.6 Laws of logarithms, 1.6.7 Equations involving exponentials, 1.6.8 Reduction to linear form, and 1.6.9 Modelling using exponential functions. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank