Recognise and determine the qualitative features of the graph of 𝑦 = log𝑎(𝑥) (where 𝑎 > 1), including asymptote and intercept.

mm-u2-t2-s2-d1

Interactive

Features of y = logₐ(x)

manipulative

Scrub a > 1 on y = logₐ(x) — every graph shares the intercept (1, 0) and the vertical asymptote x = 0; larger a only flattens the rise.

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