This follows directly from change of base: log_a(b) = 1/log_b(a). Useful in simplifying products of logs with swapped bases. Extended: log_a(b)*log_b(c)*log_c(d) = log_a(d) (chain multiplication). Example: log_2(3)*log_3(4)*log_4(5)*log_5(2) = log_2(2) = 1.
Part of ALG-11 — Logarithms, Exponentials & Functional Equations
Key Identity — log_a(b) * log_b(a) = 1
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