Mathematical Methods · logarithmic functions · manipulative

What every y = logₐ(x) graph shares

Change the base a > 1. The curve still goes through (1, 0) and still hugs the wall x = 0 — only how quickly it rises changes.

y = logₐ(x) intercept (1, 0) asymptote x = 0

Fixed axes so flattening is real · scroll zoom · drag to pan

Base a > 1

2

a = 2 — steeper rise than ln

Working