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Exponentials and Logarithms

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Question 92

Giving your answers to 2 decimal places, the simultaneous equations

eay=x+1ln⁡(x−2)=ay−b \begin{aligned} e^{ay} &= x + 1 \\ \ln(x - 2) &= ay - b \end{aligned} eayln(x−2)​=x+1=ay−b​

where a a\,a and b b\,b are constants, have the solution x=5x=5x=5 and y=1y=1y=1.

Find the value of a a\,a and the value of bbb.

[7]
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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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