Logarithm Calculator
Calculate logarithms with any base, including natural log (ln) and common log (log₁₀).
log_b(x)
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ln(x) — Natural log
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log₁₀(x)
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log₂(x)
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How It Works
The logarithm log_b(x) answers: "b raised to what power equals x?" Use presets for common bases: e (natural log), 10 (common log), or 2 (binary log). You can also enter a custom base.
log_b(x) = ln(x) / ln(b) | b > 0, b ≠ 1, x > 0
About this Calculator
The Logarithm Calculator is a free, easy-to-use tool for log, ln, base. Simply enter your values and get instant, accurate results — no signup, no ads, no tracking. All calculations run locally in your browser, so your data stays completely private.
Privacy Note: All calculations are performed locally in your browser. No data is ever sent to a server or third party.