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1.6 Exponentials and logarithms

1.6 Exponentials and logarithms

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Question 31

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]
Markscheme

1.6 Exponentials and logarithms Questions

  1. A Level
  2. /Maths
  3. /1.6 Exponentials and logarithms

104 exam-style questions on WJEC A Level Maths 1.6 Exponentials and logarithms, covering 1.6.1 Exponentials and logarithms, 1.6.2 Exponentials and logarithms, 1.6.3 Exponentials and logarithms, 1.6.4 Exponentials and logarithms, 1.6.5 Exponentials and logarithms, 1.6.6 Exponentials and logarithms, 1.6.7 Exponentials and logarithms, 1.6.8 Exponentials and logarithms, and 1.6.9 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.

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