Calculate log base 10, natural log (ln), log base 2, or any custom base. Get instant results with all common logarithm values.
primary result
| log₁₀ (common log) | 2.000000 |
| ln (natural log) | 4.605170 |
| log₂ (binary log) | 6.643856 |
| log_10(x) | 2.000000 |
Instant delivery · No spam · Unsubscribe anytime
No spam, ever. We only email you about topics you care about. Unsubscribe anytime.
log_b(x) = ln(x) / ln(b)
log₁₀(x) = log(x) / log(10)
ln(x) = natural log, base e ≈ 2.71828
A logarithm answers: to what power must the base be raised to produce a given number? log_b(x) = y means b^y = x.
The natural logarithm uses base e (≈ 2.71828). It's widely used in calculus, physics, and compound growth formulas.
Log base 2 (binary logarithm) is used in computer science to measure bits of information and algorithm complexity.
No. Logarithms are only defined for positive real numbers. log(0) is undefined and log of negatives requires complex numbers.
Calculations are for educational purposes only. Consult a qualified financial advisor for personalized advice.