How to Find Antilog of a Number using Antilog Table?
Calculating the Antilog using an Antilog table involves breaking down the given logarithm into its characteristic and mantissa parts. Let’s walk through the steps to calculate the Antilog of the number 1.4317 using an Antilog table:
Step 1: Given logarithm: 1.4317.
Separate the integral part (characteristic) from the fractional part (mantissa):
- Characteristic: 1
- Mantissa: 0.4317
Step 2: Find the equivalent value of mantissa using the antilog table. Find the row number that equals .43 and then select column number 1 is the matching value.
Step 3: Proceed to the mean difference column. Use the .56 row again and get the appropriate value in column 8. The value in this case is 7.
Step 4: Add the values you discovered in steps 2 and 3. It is 2698 + 7 = 3697 in this case.
Step 5: Insert the decimal point now. The decimal point always goes in the correct position. You must multiply the characteristic value by 1. You now have 3. Then, after 3 digits, add the decimal point to obtain 369.7.
As a result, the antilog value of 2.5678 is 369.7.
Calculate Antilog using Calculator
Using a calculator to calculate the Antilogarithm is a simple technique. Most scientific calculators contain a specific button for calculating Antilogarithms, which is typically labelled “10x” or “antilog.” Thus, you can use following steps to find antilog with any scientific calculator.
- Step 1: Use a scientific calculator with an “antilog” or “10x” button.
- Step 2: Input the given logarithm.
- Step 3: Calculate the antilog using the “10x” button on the calculator.
Antilog from 1 to 10
The following table represents the value of antilog from 1 to 10.
| Antilog of n | Expression | Result |
|---|---|---|
| Antolog of 1 | antilog(1) | 10 |
| Antolog of 2 | antilog(2) | 100 |
| Antolog of 3 | antilog(3) | 1,000 |
| Antolog of 4 | antilog(4) | 10,000 |
| Antolog of 5 | antilog(5) | 100,000 |
| Antolog of 6 | antilog(6) | 1,000,000 |
| Antolog of 7 | antilog(7) | 10,000,000 |
| Antolog of 8 | antilog(8) | 100,000,000 |
| Antolog of 9 | antilog(9) | 1,000,000,000 |
| Antolog of 10 | antilog(10) | 10,000,000,000 |
Antilog Table
Antilog Table is a mathematical and technical reference tool for determining the values of Antilogarithms, which are the inverse operations of logarithms. Antilog returns pre-calculated exponential values corresponding to particular logarithmic inputs. Before calculators and computers, these tables were commonly used to simplify difficult computations requiring exponentiation and logarithmic transformations.
Antilog tables allowed for the rapid retrieval of values without the need for real arithmetic calculations. Digital technologies have largely supplanted the need for physical Antilog tables in modern times, making computations more efficient and exact. In this article, we will learn about the Antilog table in detail including its use to find the value of antilog.
Table of Content
- What is Antilog Table?
- Antilog Formula
- How to Calculate Antilog?
- Common Antilog Table
- How to Find Antilog of a Number using Antilog Table?
- Antilog and Log Table
- Antilog Table PDF
- Solved Example of Antilog Table
- Antilog Table – FAQs
What is an Antilog?
Antilog is the inverse operation of the logarithm. Antilog is used to find the result for which the base has been raised to a certain power. Basically, the output for the log is input for antilog and vice-versa. Antilog is basically used for calculation in digital technologies.