Logarithm Calculator

Calculate logarithms in different bases.

This Logarithm Calculator allows you to calculate or convert values instantly. It is free, fast, and easy to use.

  • Free Online Tool
  • Instant Results
  • Mobile Friendly
  • No Installation
  • Secure & Private

Understanding This Calculator

Logarithm Operations

A logarithm tells you what exponent is needed to produce a number from a base.

logb(x) = y means by = x

  • Log₁₀: Common logarithm (base 10)
  • Ln: Natural logarithm (base e ≈ 2.718)

Example 1 (Log Base 10)

Number: 100

  • 102 = 100
  • Log₁₀(100) = 2

Example 2 (Natural Log)

Number: 7.389 (≈ e²)

  • e2 ≈ 7.389
  • Ln(7.389) ≈ 2

How to Use

  • Enter a positive number.
  • Optionally enter a custom base.

Frequently Asked Questions

How do I use the Logarithm Calculator?

Enter your values in the input fields, and the result will appear instantly.

Is this calculator free to use?

Yes, this calculator is 100% free and does not require any registration or subscription.

Is it mobile-friendly?

Absolutely! Our tool is optimized for all devices, including mobile phones, tablets, and desktop computers.