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Exponentials and Logarithms

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Question 27

A curve has the equation y=e5xy = e^{5x}y=e5x

a.

Find, in terms of aaa, the equation of the tangent to the curve at the point (a,e5a)(a, e^{5a})(a,e5a)

[3]
b.

Find the value of a a\,a for which this tangent passes through the origin.

[2]
c.

Hence, find the set of values of m m\,m for which the equation e5x=mxe^{5x} = mxe5x=mx has no real solutions.

[3]
Markscheme

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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