Logarithm Calculator

Easily calculate logarithms with any base

Enter Your Value

Example:

Input: Number = 100, Base = 10
Output: log base 10 of 100 = 2

Frequently Asked Questions (FAQs)

A logarithm answers the question: to what power must the base be raised to produce a given number? For example, log base 10 of 100 is 2 because 10² = 100.

Common logarithms have base 10, written as log₁₀(x). Example: log₁₀(1000) = 3.

Natural logarithms use base e (Euler’s number, ~2.718). They are written as ln(x). Example: ln(e) = 1.

No. Logarithm base must be greater than 0 and not equal to 1.

Logarithms are used in mathematics, physics, engineering, finance, computer science, and algorithms such as time complexity analysis.