Logarithm & Antilog Calculator
About Logarithm and Antilog Calculator
The Logarithm and Antilog Calculator helps you quickly find the logarithm (log) or antilogarithm (inverse log) of any number for any base, such as base 10 or base e. It’s a handy tool for students, scientists, and engineers working with exponential and logarithmic equations.
Formula (Simple Explanation)›
If logₐ(x) = y, then x = aʸ
The logarithm tells you the power to which a base must be raised to obtain a given number. The antilogarithm reverses this process. For example, log₁₀(100) = 2 and antilog₁₀(2) = 100.
Example:
Input: Find log₁₀(1000) and antilog₁₀(3)
Output: log₁₀(1000) = 3, antilog₁₀(3) = 1000
Steps to Use:
- Select the mode — Logarithm or Antilogarithm.
- Enter the number and the base (for example, base 10 or base e).
- Click 'Calculate' to get your result instantly.
- For antilog, enter the exponent to find its corresponding number.
Frequently Asked Questions
What is a logarithm?›
A logarithm is the exponent or power to which a base number must be raised to obtain another number. For example, log₁₀(100) = 2 because 10² = 100.
What is an antilogarithm?›
An antilogarithm, or antilog, is the inverse of a logarithm. It helps you find the original number when you know the log value. For instance, antilog₁₀(2) = 100.
What are the most common logarithm bases?›
The two most common bases are base 10 (common logarithm) and base e (natural logarithm, written as ln).
Can I calculate natural logs (ln) with this calculator?›
Yes, simply select base e or choose 'Natural Log' mode to compute ln(x) or its antilog eʸ.
Where are logarithms used in real life?›
Logarithms are used in science, engineering, finance, and data analysis — for measuring sound intensity (decibels), earthquake magnitude (Richter scale), and exponential growth or decay models.