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Exponentials and Logarithms

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Question 18

A curve has the equation y=e2xy = e^{2x}y=e2x

a.

Find, in terms of aaa, the equation of the tangent to the curve at the point (a,e2a)(a, e^{2a})(a,e2a)

[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 e2x=mxe^{2x} = mxe2x=mx has no real solutions.

[3]

Exponentials and Logarithms Questions

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

Practise Edexcel A Level Maths Exponentials and Logarithms with exam-style questions for A Level Maths. 41 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank