A Level Maths AS Mathematics - Exponential Functions and Logarithms notes and example questions

This document contains comprehensive notes on Logarithms and exponential functions for A Level maths and AS mathematics. It contains a complete set of notes for students, example questions on how each of the sub-topics might be assessed and model examples.

The content covered includes:

• An introduction to exponential functions
• The function a^x and its graph, where a is positive
• Exponential modelling and its applications
• How to use the function e^x and interpret its graph
• The logic behind e^kx’s gradient’s relation to ke^kx and why the exponential model is suitable in many applications
• Laws of logarithms
• Solving equations using logarithms
• Natural logarithms
• Ln x and its graph
• Logarithms and non linear data
  Consideration of limitations and refinements of exponential models