Logarithm Calculator
Calculate logarithms with any base, natural log, and common log
Logarithm Formulas
Common Logarithm (Base 10):
log₁₀(x) = log(x)
Natural Logarithm (Base e):
ln(x) = logₑ(x)
Logarithm with Custom Base:
logₐ(x) = ln(x) / ln(a) = log(x) / log(a)
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About Logarithms
A logarithm is the inverse operation of exponentiation. It answers the question: "To what power must we raise the base to get this number?" Common logarithms use base 10, while natural logarithms use base e (approximately 2.718).