Higher mathematics

Logarithms

Natural, decimal and arbitrary-base logarithms.

Higher mathematics

Logarithm with arbitrary base

log_b x = ln x / ln b→
Higher mathematics

Natural logarithm

y = ln x→
Higher mathematics

Common logarithm

y = log₁₀x→
Higher mathematics

Antilogarithm

x = bʸ→
Higher mathematics

Logarithm of a product

logₐ(xy) = logₐx + logₐy→
Higher mathematics

Logarithm of a quotient

logₐ(x/y) = logₐx − logₐy→
Higher mathematics

Logarithm of a power

logₐ(xᵏ) = k·logₐx→