Skip to content

Course home

1.8 Exponentials and Logarithms

1.8 Exponentials and Logarithms

EasyMediumHard
123456789101112131415161718
Question 18

Express 2log⁡a(x+1)−log⁡a42\log_a(x + 1) - \log_a 42loga​(x+1)−loga​4 as a single logarithm to base aaa, where a>0 a > 0\,a>0 and a≠1a \neq 1a=1.

[2]
Markscheme

1.8 Exponentials and Logarithms Questions

  1. A Level
  2. /Maths
  3. /1.8 Exponentials and Logarithms

104 exam-style questions on OCR (MEI) A Level Maths 1.8 Exponentials and Logarithms, covering 1.8.1 The function y = a^x, 1.8.2 Convert between index and logarithmic form, 1.8.3 Logarithm as inverse of exponential, 1.8.4 Laws of logarithms, 1.8.5 Values of log_a a and log_a 1, 1.8.6 Solve equations of the form a^x = b, 1.8.7 Reduce y = ax^n and y = ab^x to linear form, 1.8.8 The function y = e^x, 1.8.9 Gradient of e^kx (A-level only), 1.8.10 The function y = ln x, and 1.8.11 Exponential growth and decay. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank