Calculate logarithm with any base — log₁₀, natural log (ln), log₂, or any custom base. Also calculates antilog.
A Log Calculator computes the logarithm of a number for a given base, answering the question of what power the base must be raised to in order to get that number.
If log base B of X equals Y, then B raised to the power of Y equals X. Common bases used are base 10, called common log, and base e, called natural log.
Enter the number you want the logarithm of. Enter the base, such as 10 or e. Click Calculate to see the logarithm result instantly.
Example 1: Log base 10 of 100 equals 2, since 10 squared equals 100.
Example 2: Log base 2 of 8 equals 3, since 2 cubed equals 8.
Example 3: The natural log of e equals 1, since e to the power of 1 equals e.
Solving exponential growth and decay problems in science. Calculating pH values in chemistry. Measuring sound intensity in decibels. Working with the Richter scale for earthquake magnitude.
What is the difference between common log and natural log. Common log uses base 10, natural log uses base e, approximately 2.718.
Can I take the log of a negative number. No, logarithms of negative numbers are undefined in real numbers.
What is the log of 1. The log of 1 is always 0, regardless of the base.
Why are logarithms useful. They convert multiplication problems into addition, simplifying complex calculations.
Can the base be any number. Yes, as long as the base is positive and not equal to 1.