Math
Logarithm Calculator
log, ln, log₁₀, log₂ in any base.
Result
3.000000
log_10(1000)
ln (natural)
6.907755
log₁₀
3.000000
log₂
9.965784
e^x
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Quick summary
Compute the logarithm of a positive number in any base, plus the natural log (ln), common log (log₁₀), and binary log (log₂).
How to calculate logarithm manually
- log_b(x) = ln(x) / ln(b).
- Defined for x > 0 and base b > 0, b ≠ 1.
Compute the logarithm of a positive number in any base, plus the natural log (ln), common log (log₁₀), and binary log (log₂).
How it works
log_b(x) = ln(x) / ln(b). Defined for x > 0 and base b > 0, b ≠ 1.
Example
log₁₀(1000) = 3, ln(1000) ≈ 6.9078, log₂(1000) ≈ 9.9658.
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