Antilog Calculator

The Inverse of a Logarithm

The antilogarithm is the inverse function of a logarithm. If the log of a number 'y' to the base 'b' is 'x' (log_b(y) = x), then the antilog of 'x' to the base 'b' is 'y' (antilog_b(x) = y). In simpler terms, it's the process of raising a base to a given exponent.

The Antilog Formula Explained

The formula is simply the exponential form: Antilog_b(x) = bˣ

• b: The base of the logarithm.
• x: The number whose antilog you want to find.

How to Use the Calculator

1. Number (x): Enter the number (the logarithm value).
2. Base (b): Enter the base.
3. Calculate: The tool will display the result of b^x.

Real-World Example

You know that log₁₀(1000) = 3. You want to find the antilog of 3 for base 10.

1. Number (x): 3
2. Base (b): 10

• Calculation: 10³ = 1000
• The calculator will show the result: 1000.

Frequently Asked Questions (FAQ)

• Is this just the same as calculating a power? Yes, exactly. The term 'antilog' is just another way of describing exponentiation. It's the operation you use to 'undo' a logarithm.
• What is this used for? It's used in many scientific and engineering fields where data is analyzed on a logarithmic scale (like the pH scale for acidity or the Richter scale for earthquakes). To convert a log value back to its original linear scale, you take the antilog.
• What is the common antilog? The common antilog is the antilogarithm with base 10 (10^x). The natural antilog is the antilogarithm with base e (e^x).