Logarithm Calculator
Compute logarithm of any number with any base. Natural log (ln), log₁₀, and custom base supported.
About Logarithms
The logarithm answers: "To what exponent must we raise the base to get this number?" log_b(x) = y means b^y = x. Common types: log₁₀ (base 10), ln (base e ≈ 2.718), and log₂ (base 2). Used in scientific scales (pH, decibels, Richter), compound growth, and information theory.
Logarithm Input
Number (x)
Base
Result
Result
2
Verification
10² = 100
log₁₀(100) = 2 (because 10² = 100)