The Antilog Calculator helps you find the antilogarithm of a number quickly and easily. Choose base 10, base 2, the natural base (e), or enter your own base to get instant results. Whether you’re studying logarithms or solving math problems, this free tool makes calculations simple.
Antilog Calculator
Calculate antilogarithms instantly using base 10, base 2, natural base e, or your own custom base.
Enter Your Values
Try an Example
Calculation Result
- Logarithm Value (y)2
- Selected Base (b)10
- Calculation10^(2)
- Exact Result100
- Decimal Precision6 places
- Verificationlog₁₀(100) = 2
Antilog Formula
If logb(x) = y, then the antilogarithm is x = by.
Example: the antilog of 2 with base 10 is 10² = 100.
Remember
The base must be positive and cannot equal 1. Negative logarithm values are allowed and produce positive results for valid bases.
What Is an Antilogarithm?
An antilogarithm, also called an antilog, is the reverse operation of finding a logarithm. It helps you find the original number when you know its logarithm and base.
For example, the antilogarithm of 2 with base 10 is 100 because 10² = 100.
Antilog Formula
The general formula for an antilogarithm is:
x = bʸ
Where:
- x is the original number.
- b is the logarithm base.
- y is the logarithm value.
For example, if the base is 2 and the logarithm value is 3, the result is 2³ = 8.
How to Use the Antilog Calculator
Using this calculator is straightforward:
- Enter the logarithm value you want to calculate.
- Select a base: 10, 2, e, or custom.
- If you choose a custom base, enter a positive number other than 1.
- Select your preferred decimal precision.
- View your antilogarithm result instantly.
You can also try the example buttons to see how different bases and values work.
Common Antilog Values
Here are a few examples to help you understand antilogarithms:
| Base | Logarithm Value | Antilog Result |
|---|---|---|
| 10 | 1 | 10 |
| 10 | 2 | 100 |
| 10 | 3 | 1,000 |
| 2 | 3 | 8 |
| 2 | 4 | 16 |
| e | 1 | 2.71828 |
| 10 | -1 | 0.1 |
| 10 | -2 | 0.01 |
Where Are Antilogarithms Used?
Antilogarithms are useful in mathematics, algebra, scientific calculations, and engineering. They can help reverse logarithmic calculations, solve exponential equations, and work with scientific data. Students often use antilogs to check homework and better understand the relationship between logarithms and exponents.
The key thing to remember is that an antilogarithm converts a logarithm value back into its corresponding number using the selected base.
FAQs
1. What is an antilog?
An antilog, or antilogarithm, is the reverse of a logarithm. It finds the original number by raising the logarithm’s base to the given power.
2. How do I calculate an antilog?
Use the formula x = bʸ, where b is the base and y is the logarithm value. For example, the antilog of 2 with base 10 is 10² = 100.
3. What is the antilog of 2?
The answer depends on the base. With base 10, the antilog of 2 is 100. With base 2, it is 4.
4. Can I calculate antilogs with different bases?
Yes. You can calculate antilogs using base 10, base 2, the natural base e, or a custom base greater than zero and not equal to 1.
5. Can an antilog be calculated for a negative number?
Yes. A negative logarithm value is allowed. For example, the base-10 antilog of −2 is 10⁻² = 0.01. The logarithm value can be negative even though the resulting antilog remains positive.