Exponentials and Logarithms: A Comprehensive Guide for A-Level Mathematics
This guide covers essential concepts of exponential functions and logarithms, crucial for A Level Maths exponentials and logarithms Exam questions. It includes key properties, graph behaviors, and problem-solving techniques.
- Exponential functions (f(x) = aˣ) always pass through (0,1) and approach 0 as x decreases
- Logarithms are inverse functions of exponentials, with important laws for multiplication, division, and powers
- Natural logarithms (base e) have special properties in calculus
- Practical applications include solving equations and linearizing data