Antilog is a mathematical function.It calculates the inverse logarithm of a number. In other words, antilogarithm is the exponential function that is used to undo the effect of the logarithm function. The antilogarithm of a logarithmic value can be obtained by raising the base of the logarithm to the power of the logarithmic value.
Definition of Antilog
The antilog function is the inverse function of the logarithm function. It is used to find the value of an exponent whose logarithm value is given. The antilogarithm is also known as the exponential function, and it is represented as antilog x or 10x
Formula for Antilog
The formula for antilog is given by:
antilog x = 10x
where x is the logarithmic value.
How to Find Antilog
To find the antilog of a given logarithmic value, follow the steps below:
- Identify the base of the logarithm.
- Raise the base to the power of the logarithmic value.
- The result obtained is the antilogarithm of the given logarithmic value.
For example, if we have log base 10 of 3, then the antilog of this value can be calculated as follows:
- The base is 10.
- Raise 10 to the power of 3: 103
= 1000 - Therefore, the antilog of log base 10 of 3 is 1000.
Uses of Antilog
Antilog is used in various fields, including mathematics, science, engineering, and finance. Some common uses of antilog are:
- It is used to convert logarithmic values into their corresponding exponential values.
- It is used in calculating exponential growth rates and decay rates.
- Antilog is used in the calculation of pH and pOH values in chemistry.
- It is used in calculating interest rates and compound interest in finance.
Common Antilog Table
An antilog table is a table that provides the values of the antilogarithm function for different logarithmic values. Here is a common antilog table that provides the antilog values for the most commonly used logarithmic values:
| Logarithmic Value | Antilogarithm Value | Logarithmic Value | Antilogarithm Value |
|---|---|---|---|
| 0 | 1 | 1 | 10 |
| 0.1 | 1.2589 | 1.1 | 12.589 |
| 0.2 | 1.5849 | 1.2 | 15.849 |
| 0.3 | 1.9953 | 1.3 | 19.953 |
| 0.4 | 2.5119 | 1.4 | 25.119 |
| 0.5 | 3.1623 | 1.5 | 31.623 |
| 0.6 | 3.9811 | 1.6 | 39.811 |
| 0.7 | 5.0119 | 1.7 | 50.119 |
| 0.8 | 6.3096 | 1.8 | 63.096 |
| 0.9 | 7.9433 | 1.9 | 79.433 |
| 2 | 100 | 2.1 | 125.89 |
| 2.2 | 158.49 | 2.3 | 199.53 |
| 2.4 | 251.19 | 2.5 | 316.23 |
| 2.6 | 398.11 | 2.7 | 501.19 |
| 2.8 | 630.96 | 2.9 | 794.33 |
| 3 | 1000 | 3.1 | 1258.93 |
| 3.2 | 1584.89 | 3.3 | 1995.26 |
| 3.4 | 2511.89 | 3.5 | 3162.28 |
| 3.6 | 3981.07 | 3.7 | 5011.87 |
| 3.8 | 6309.57 | 3.9 | 7943.28 |