Skip to content

Course home

1.6 Exponentials and Logarithms

1.6 Exponentials and Logarithms

EasyMediumHard
12345678
Question 4

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

At the point P P\,P on the curve, the tangent is parallel to the line with equation 9x−2y+3=09x - 2y + 3 = 09x−2y+3=0

Find the coordinates of PPP, giving your answer in the form (ln⁡p, q)(\ln p,\, q)(lnp,q), where p p\,p and q q\,q are rational.

[7]
Markscheme

1.6 Exponentials and Logarithms Questions

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

104 exam-style questions on OCR A Level Maths 1.6 Exponentials and Logarithms, covering 1.6.1 Properties of the exponential function, 1.6.2 Gradient of e^(kx) (A-level only), 1.6.3 Definition of the logarithm, 1.6.4 The natural logarithm function, 1.6.5 ln x as inverse of e^x, 1.6.6 Laws of logarithms, 1.6.7 Equations involving exponentials, 1.6.8 Reduction to linear form, and 1.6.9 Modelling using exponential functions. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank