Logarithm Calculator

Calculate logarithms with any base, including natural and common logarithms

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Understanding Logarithms

Common Types

Different types of logarithms:

Natural Log (ln):
Base e (≈ 2.71828), used in calculus
Common Log (log₁₀):
Base 10, used in engineering
Binary Log (log₂):
Base 2, used in computer science

Properties

Important logarithm rules:

Product Rule:
log(x×y) = log(x) + log(y)
Quotient Rule:
log(x÷y) = log(x) - log(y)
Power Rule:
log(xⁿ) = n×log(x)