Logarithms and logarithmic laws

Mathematical Methods · Unit 2 — Calculus and further functions · Logarithms and logarithmic functions

Learning objectives (3)

LO-1Define logarithms as indices, where 𝑎𝑥 = 𝑏 is equivalent to 𝑥 = log𝑎 (𝑏), and convert between both forms.LO-2Solve equations involving indices using logarithms, with and without technology.LO-3Use logarithmic laws and definitions  log𝑎 (𝑥) + log𝑎(𝑦) = log𝑎 (𝑥𝑦)  log𝑎 (𝑥) − log𝑎(𝑦) = log𝑎 (𝑥 𝑦)  log𝑎 (𝑥𝑛) = 𝑛 log𝑎 (𝑥)  log𝑎 (𝑥) = log𝑏(𝑥) log𝑏(𝑎)  log𝑎 (𝑎) = 1  log𝑎 (1) = 0

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