Antilog Calculator
Calculate the antilogarithm (inverse logarithm) for any base. Find the number from a given logarithm value.
Enter a logarithm value and base to calculate the antilog.
Antilogarithm Formula
antilogb(y) = by
The antilogarithm is the inverse of the logarithm. If logb(x) = y, then antilogb(y) = x = by.
How to Calculate an Antilog
- Identify the base (b) and the logarithm value (y).
- Raise the base to the power of the logarithm value: by.
- The result is the antilogarithm.
Example: Find antilog₁₀(3)
antilog₁₀(3) = 10³ = 1000
antilog₁₀(3) = 10³ = 1000
Common Antilogarithm Types
- Common antilog (base 10): antilog₁₀(y) = 10y
- Natural antilog (base e): antiloge(y) = ey
- Binary antilog (base 2): antilog₂(y) = 2y
Reference Table
| y | antilog₁₀(y) |
|---|---|
| 0 | 1 |
| 0.5 | 3.162 |
| 1 | 10 |
| 1.5 | 31.623 |
| 2 | 100 |
| 3 | 1,000 |
| 4 | 10,000 |
| 5 | 100,000 |
FAQ
What is the difference between log and antilog?
A logarithm finds the exponent: log₁₀(1000) = 3. An antilogarithm reverses this: antilog₁₀(3) = 1000. They are inverse operations.
When is antilog used?
Antilogs are used when converting from logarithmic scales back to linear values, for example in pH calculations, decibels, and the Richter scale.
Related Calculators
Last updated: 2026-08-08