What you provide
What you provide
- Positive value, using the same scenario as the other inputs
- Logarithm base, using the same scenario as the other inputs
MATH / ALGEBRA
Logarithm Change of Base Calculator
Evaluate a logarithm using the change-of-base identity. Inspect the equation, substituted values, result, and interpretation limits in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Evaluate a logarithm using the change-of-base identity. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
log_b(x)=ln(x)/ln(b)
What you receive
What you receive
- Logarithm value from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
The argument is positive and the base is positive but not one.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors