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1.2.5 Logarithms

Knowledge Base > Math

For all real numbers a > 0,b > 0,c > 0, and n, such that

a = blogba logcab = logca + logcb log an = n⋅log a b b logb a = --1--= logca- loga b logcb log 1- = - log a ba b alogbc = clogba (1.2.5)

Binary Logarithm

lg n is a logarithmic function of base 2.

lgn = log2n (1.2.6)

Natural Logarithm

lnn is a logarithmic function of base e (see equation 1.2.3).

lnn = logen (1.2.7)

Exponentiation

k k lg n = (lgn) (1.2.8)

Composition

lglgn = lg (lgn) (1.2.9)

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