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Math & AlgebraGenerated accuracy model review: 2026-05-06
Log Calculator accuracy and testing
This page documents how Calwarden builds trust for this calculator: source notes, regression-style default tests, limitations, assumptions, unit handling, rounding, and visible change history.
Formula source
- The logarithm $\log_b(x) = y$ is equivalent to $b^y = x$. * **Common Log:** Base 10 (written as $\log x$). * **Natural Log:** Base $e$ (written as $\ln x$). * **Binary Log:** Base 2 (used in computer science).
Test cases
Default input regression check
Generated from the checked-in default inputs and calculate function.
Inputs
- Value (x): 100
- Base: 10
Expected outputs
- Log Result: 2
- Natural Log (ln): 4.61
Known limitations
- This page documents the checked-in calculator logic and does not certify results for every real-world edge case.
- Use the result as a planning estimate unless the calculator page states a stricter purpose.
Assumptions
- The value being logged must be greater than 0.
- The base must be greater than 0 and cannot equal 1.
- Results are returned in real numbers only.
Unit handling
- Value (x) accepts numeric values.
- Base accepts numeric values.
Rounding rules
- Number displays use up to 2 decimal places in the calculator UI.
Version history
1.0.0 - 2026-05-06
Generated accuracy and testing page from the current log-calculator calculator definition.
Change log
2026-05-06
Published default regression test documentation and metadata fallbacks for Log Calculator.
Calculator transparency
Accuracy pages are generated from checked-in calculator definitions and can be upgraded with curated review metadata over time.