Use this mathematical operation when its input domain, operator precedence, logarithm base, and numeric precision match the intended calculation.

First value

Required number input.

Second value

Required number input.

Calculate the logarithmic mean of two positive numbers. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Logarithmic mean

The resulting logarithmic mean returned as a number.

• Expression evaluation must not execute arbitrary code, and floating-point arithmetic can introduce rounding, overflow, underflow, and domain errors. Logarithmic means require valid positive inputs and careful handling near equality.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Validate syntax and domains before evaluation, compare boundary cases with an independent implementation, and use higher precision when error tolerance requires it.

• Logarithm with Arbitrary Base

  Calculate a logarithm using any positive base other than one.

• Arithmetic Expression Evaluator

  Evaluate an arithmetic expression with + - * / % ^, unary minus and parentheses using standard precedence.

• Harmonic Mean Calculator

  Calculate the harmonic mean of a nonempty list of positive numbers.