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Math calculator

Logarithm Base Change

Calculate logarithm using the logarithm base change formula.

Logarithm: -
Visual representation

Logarithm Base Change diagram

The diagram updates with your entries and is illustrative, not necessarily drawn to scale.

Calculation explained

How this result was calculated

The formula, your substituted values, and the evaluated result are shown below.

Reference: Formulae and Tables, State Examinations Commission (2014), page 22.
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How the Logarithm Base Change works

This calculator applies the formula given in Formulae and Tables, State Examinations Commission (2014), page 22. Enter values in consistent units.

Formula and inputs

Math.log(value) ÷ Math.log(base)

Inputs: Positive value, Logarithm base.

Using the result

The result is rounded to 6 decimal places. Check units, assumptions and significant figures before using the answer.

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