Log & Exponent Calculator
Calculate logarithms and exponents in any base.
About this tool
Calculate a logarithm in any base, or raise any base to any power (including fractional or negative exponents).
Key Features
- Logarithm in any positive base
- Exponentiation with any real exponent
- Handles fractional and negative exponents
How to Use
- Choose Logarithm or Exponent mode.
- Enter the base and the other value.
- Click Calculate.
Benefits
- Check algebra and pre-calculus homework
- Quick reference without a scientific calculator
- Understand the relationship between logs and exponents
Frequently Asked Questions
Using the change-of-base formula: log\u2099(x) = ln(x) / ln(b), where ln is the natural logarithm \u2014 this lets any base be computed from a single underlying log function.
Logarithms are only defined for a positive base (not equal to 1) and a positive argument \u2014 there's no real exponent that a positive base can be raised to that produces zero or a negative result.