Math
Logarithm Calculator
Calculate logarithms with any custom base. Also shows ln(x), log₁₀(x), and log₂(x) for quick reference.
log10(100) =
2
4.6052
ln(x)
2
log₁₀(x)
6.6439
log₂(x)
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Frequently Asked Questions
Quick answers to common questions
What is a logarithm?+
log_b(x) answers: "To what power must b be raised to get x?" If b^y = x, then log_b(x) = y.
What is the natural logarithm (ln)?+
ln(x) is the logarithm with base e (≈ 2.71828). It is widely used in science and finance.
Can I take log of zero or negatives?+
No. Logarithms are only defined for positive real numbers.
What bases are commonly used?+
Base 10 (log₁₀) in science, base 2 (log₂) in computing, and base e (ln) in calculus and growth models.