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1.6 Exponentials and Logarithms

1.6 Exponentials and Logarithms

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Question 54

It is given that y=log⁡2xy = \log_2 xy=log2​x.

Find expressions in terms of y y\,y for each of the following.

a.

log⁡2x2\log_2 x^2log2​x2

[2]
b.

log⁡22x\log_2 2xlog2​2x

[2]
c.

log⁡8x\log_8 xlog8​x

[2]
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.

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