Define logarithms as indices, where 𝑎𝑥 = 𝑏 is equivalent to 𝑥 = log𝑎(𝑏), and convert between both forms.

mm-u2-t2-s1-d1

Interactive

aˣ = b ↔ x = logₐ(b)

manipulative

Play morph reflects y=aˣ across y=x onto y=logₐ(x); the meeting point’s coordinates swap — that is aˣ=b ↔ x=logₐ(b).

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