Your Result
About the Log Calculator
The Log Calculator computes the logarithm of any positive number with the base you choose. It handles natural logs (base e), common logs (base 10), and custom bases. The result shows the exponent that the base must be raised to in order to produce your number.
The tool applies the change of base formula, log_b(x) = ln(x) / ln(b). You enter a positive number and a base greater than zero and not equal to one. The calculator converts both values to natural logs and divides them. Tip: enter 2 as the base when you need a binary logarithm, which is common in computer science.
- Type the number you want the logarithm of.
- Pick a base, or select the natural or common log option.
- Press calculate and read the exponent in the results field.