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1.6 Exponentials and Logarithms

1.6 Exponentials and Logarithms

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Question 4

The population, PPP, of a bacteria culture at time t t\,t is modeled by the formula P=ktrP = kt^rP=ktr, where k k\,k and r r\,r are constants.

Show that this relationship can be written in the form log⁡P=log⁡k+rlog⁡t\log P = \log k + r \log tlogP=logk+rlogt.

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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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