Understand and use the laws of logarithms: log_a x + log_a y = log_a(xy); log_a x – log_a y = log_a(x/y); k log_a x = log_a(xᵏ) (including, for example, k = –1 and k = –½)(Pearson Edexcel A-Level)

Mastery Mind: Mathematics Revision · Oct 20, 2026 · 5m

The laws of logarithms convert addition, subtraction and coefficients outside logarithms into multiplication, division and powers inside them. In Pearson Edexcel A-Level Mathematics, confident use of these laws unlocks logarithmic equations, exponential models and later work with logarithmic graphs. Listen to this audio revision guide for Understand and use the laws of logarithms: log_a x + log_a y = log_a(xy); log_a x – log_a y = log_a(x/y); k log_a x = log_a(xᵏ) (including, for example, k = –1 and k = –½). Test your knowledge with interactive exam questions and flashcards at…