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Logarithm Calculator
log_b(x) — log of any base.
Enter values to see your result
Frequently asked questions
What is log?
Inverse of exponentiation. log_b(x) = y means b^y = x. log₁₀(100) = 2 because 10² = 100.
Common bases?
Base 10 (scientific). Base e ≈ 2.71828 (natural — calculus). Base 2 (computer science).
log of 0 or negative?
Undefined in real numbers. log approaches −∞ as x → 0⁺; undefined for x ≤ 0.
Change of base?
log_b(x) = log(x) / log(b). Useful when calculator only supports ln or log10.