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Logarithm (any base)

Calculate Logarithm (any base) instantly. Free online calculator with the exact formula, a worked example, and metric units. No signup required.

Logarithm (any base)

Argument x
Base
log_b(x)
2
log_b(x) = ln x / ln bCalculate Logarithm (any base) instantly. Free online calculator with the exact formula, a worked example, and metric units. No signup required.

More about: Logarithm (any base)

What it calculates

The “Logarithm (any base)” calculator computes log_b(x) from 2 parameters: argument x, base.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters Argument x = 100, Base = 10 the result is 2 (log_b(x) = ln x / ln b).

How to use

  1. Enter argument x and base — each field above is adjustable with a slider.
  2. log_b(x) is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Logarithm (any base) calculated?
The Logarithm (any base) calculator computes log_b(x) from argument x, base. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Logarithm (any base) calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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