This follows directly from change of base: (b) = 1/(a). Useful in simplifying products of logs with swapped bases. Extended: (b)(c)(d) = (d) (chain multiplication). Example: (3)(4)(5)*(2) = (2) = 1.
Part of ALG-11 — Logarithms, Exponentials & Functional Equations
Key Identity — log_a(b) * log_b(a) = 1
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