Logarithm Calculator

Logarithm Calculator

Calculate the logarithm of a number to any base.

Base
Num

Use base “2.718” for Natural Log (ln).

Result (y)

0

What is a Logarithm?

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

For example, log₁₀(1000) = 3 because 10³ = 1000. Logarithms are widely used in scientific scales, such as the Richter scale for earthquakes and the pH scale for acidity.

Frequently Asked Questions

What is a Natural Logarithm (ln)?
A natural logarithm uses the mathematical constant ‘e’ (approximately 2.71828) as its base. It is commonly used in calculus, compound interest, and physics. You can approximate it in this calculator by entering 2.71828 as the base.

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