Skip to content

Course home

1.5 Exponentials and logarithms

1.5 Exponentials and logarithms

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445
Question 17

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

1.5 Exponentials and logarithms Questions

  1. A Level
  2. /Maths
  3. /1.5 Exponentials and logarithms

77 exam-style questions on CCEA A Level Maths 1.5 Exponentials and logarithms, covering 1.5.1 Exponentials and logarithms, 1.5.2 Exponentials and logarithms, 1.5.3 Exponentials and logarithms, 1.5.4 Exponentials and logarithms, 1.5.5 Exponentials and logarithms, 1.5.6 Exponentials and logarithms, 1.5.7 Exponentials and logarithms, and 1.5.8 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank