Log Calculator
Compute logarithms in base 10, base e (natural), or any custom base, plus the antilog (10ˣ / eˣ).
Runs 100% in your browser — nothing is uploaded.
Result
Formula
log_b(x) = ln(x) ÷ ln(b); b^(log_b(x)) = x
About this calculator
The UTIQO Exponent Calculator evaluates powers with real exponents, handling positive, negative, and fractional exponents. It provides the result in standard decimal form and scientific notation, making it useful for quick calculations in algebra, physics, finance, and everyday math.
How to use
- 1
Enter the number x in the 'Number (x)' field.
- 2
Choose the base: 'Base 10', 'Natural (e)', or 'Custom'. If you select 'Custom', enter the base b in the 'Base (b)' field.
- 3
Click the calculate button to see the logarithm result and the change-of-base calculation.
Frequently asked questions
What happens if I enter zero or a negative number?
Logarithms are only defined for positive arguments. The calculator shows an error for zero or negative values.
What is the difference between log and ln?
log uses base 10, while ln is the natural logarithm with base e ≈ 2.71828.
Can I use any custom base?
Yes — choose Custom and enter any positive base except 1; the calculator applies the change-of-base formula log_b(x) = ln(x)/ln(b).
Please note: Results are estimates for general information only and are not professional or medical/financial advice.