Logarithm Calculator

Reverse of Exponents

A logarithm answers the question: what power must the base be raised to?

Rule: logb(x) = y means by = x.

Understanding Logarithms

1. What This Calculator Measures

A logarithm reverses an exponent and tells what power is needed to reach a value.

2. How the Calculation Works

The calculator validates that the value and base are positive and that the base is not 1, then applies the change-of-base formula.

3. Formula or Rule Used

log_b(x) = ln(x) / ln(b).

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