๐ Logarithm Calculator
log_10(100)2
ln(100)4.60517019
Enter a value x and a base, and this tool calculates the logarithm log_base(x). It also shows the natural logarithm (ln) at the same time. Useful for math homework or for understanding exponential changes like pH, decibels, or earthquake magnitude.
How to use
- Enter a value x (a positive number).
- Enter a base (a positive number other than 1).
- The logarithm with your chosen base, plus the natural logarithm (ln), are calculated automatically.
FAQ
How do I calculate a common logarithm (logโโ)?
Enter 10 as the base โ that's the default setting.
What is the natural logarithm (ln)?
It's the logarithm with Euler's number e (approximately 2.71828) as its base. It's always shown automatically in the result.
What happens if x or the base is 0 or negative?
Logarithms are only defined for positive numbers, so no result is shown for values of 0 or less. A base of 1 also isn't allowed.