Logarithm Calculator

Calculate logarithms with any base

Value (x)

Base (b > 0, b ≠ 1)

Formula Reference

Log any base: log_b(x) = ln(x) / ln(b)

Natural log (ln): ln(x) = log_e(x)

Common log (log₁₀): log₁₀(x) = log(x)

Antilog: base^exponent = antilog

Actions:

How to Use

What logarithm bases are supported?

The tool supports base 10 (common log), base e (natural log, ln), base 2 (binary log), and any custom positive base.

What is the natural logarithm?

The natural logarithm (ln) uses base e (approximately 2.71828), the mathematical constant.

Can it calculate antilogarithms?

Yes. The tool can compute the inverse of logarithm: if log_b(x) = y, then b^y = x.