The antilogarithm, often abbreviated as "antilog," is the inverse operation of the logarithm.
Steps to Use an Antilog Calculator
To use an antilog calculator, we can use the following steps:
Step 1: Select the required base for the antilogarithm calculation — either Base 10 (10ˣ) or Base e (eˣ).
Step 2: Enter the value (x) for which you want to calculate the antilogarithm in the Input Value field.
Step 3: Click the “Calculate Result” button or press the Enter key to start the calculation.
Step 4: View the calculated antilogarithm displayed instantly in the Result section. You can also copy the result using the copy button.
Definition ,
Mathematically, if logb(x) = y, then the antilogarithm of y with base b, denoted as antilogb(y), equals x.
For example, if log10(100) = 2, then the antilogarithm of 2 with base 10 (antilog10(2)) equals 100.
Antilog Table
- An antilog table is a reference tool used in mathematics, particularly in the context of logarithms.
- It provides a quick way to find the antilogarithm (or inverse logarithm) of a given logarithm.
- The antilogarithm of a number x is simply 10 raised to the power of x, denoted as 10x.
Values of Antilog
Values of some common antilogarithms are listed in the following table:
| Number (x) | Antilogarithm (10x) |
|---|---|
| 0 | 1 |
| 1 | 10 |
| 2 | 100 |
| 3 | 1000 |
| 4 | 10000 |
| 5 | 100000 |
| 6 | 1000000 |
| 7 | 10000000 |
| 8 | 100000000 |
| 9 | 1000000000 |
| 10 | 10000000000 |
Antilog Vs Log
Antilog and log are two sides of the same mathematical concept, with logarithms representing the power to which a base must be raised to produce a given number, while antilogarithms, conversely, give the result of raising the base to a certain power. We can see the difference in values for both log and antilog in the following table for a better understanding of this relation.
| Number (x) | Logarithm (log10(x)) | Antilogarithm (10x) |
|---|---|---|
| 1 | 0 | 10 = 10 |
| 10 | 1 | 1010 = 10,000,000,000 |
| 100 | 2 | 10100 |
| 1000 | 3 | 101000 |
| 10000 | 4 | 1010000 |
| 0.1 | -1 | 10-1 = 0.1 |
| 0.01 | -2 | 10-2 = 0.01 |
| 0.001 | -3 | 10-3 = 0.001 |
| 0.0001 | -4 | 10-4 = 0.0001 |
Read more about Antilog Table.