Mathematical Methods · logarithms · manipulative

Log undoes the exponential

y = aˣ reflected in y = x is y = logₐ(x). Play the morph — the meeting point’s coordinates swap, which is exactly aˣ = b ↔ x = logₐ(b).

y = aˣ y = logₐ(x) y = x

Play morph folds aˣ across y = x · drag the meeting point to change b · scrub a on the right

Same fact, two writings

exponential form
logarithm form

Base a

2
4

Working