Mathematics: Analysis and Approaches · Topic 1: Number and algebra

SL1.7 — Rational exponents and the laws of logarithms

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. Laws of exponents with rational exponents

   Interpreting $a^{m/n}$ as roots and powers.

2. Laws of logarithms and change of base

   Product, quotient, power laws and $\log_a x=\dfrac{\log_b x}{\log_b a}$.

3. Solving exponential equations

   Using logarithms to solve equations where the unknown is an exponent.