Logarithm Calculator
Calculate a logarithm using a user-specified base.
How to use
- Enter a positive value x.
- Enter a base b greater than zero and not equal to one, then calculate.
Capabilities and scope
The tool evaluates log_b(x) through the change-of-base relation ln(x)/ln(b).
How it works
It uses log_b(x) = ln(x) / ln(b).
Example
With x=8 and b=2, the result is log₂8 = 3.
Useful for
- Solve for an exponent in an exponential relationship
- Use a logarithm base other than only 10 or 2
Before you use it
- For a real logarithm, x must be positive and b must be positive and different from 1.
Frequently asked questions
Can it calculate a natural logarithm?
Entering an approximation of e as the base produces the corresponding natural-log value.