Table of Contents
Log to Antilog Table
Antilog table is a table of logarithms in which the logarithmic values are in reverse order. It is used to find the logarithmic value of a number when the logarithmic value is given.
Definition of Antilog
An antilog is a mathematical function that calculates the inverse of the logarithm of a number. It is used to find the value of a number that is the inverse of another number. The antilog of a number is also known as the antilogarithm of a number.
How to calculate Antilog
The antilogarithm of a number is the inverse function of the logarithm. It is the number that, when raised to the power of the logarithm, yields the original number. To calculate the antilogarithm of a number, use the following formula:
antilog(x) = 10x
Antilog is the inverse of the logarithm. It is the number that, when raised to the power of the logarithm, gives the original number. It can be found using a calculator, or by hand using the following steps:
1) Write the logarithm equation. This will be of the form “base” followed by “logarithm of number”, for example “log 10 (4)”.
2) Invert the logarithm equation, so that the number is on the left and the logarithm is on the right. This will be “log of number” followed by “base”, for example “4 log 10”.
3) Take the antilog of both sides of the equation. This will give you the antilogarithm of the number on the left, for example “antilog (4 log 10)”.
Antilog Table
The Antilog Table is a table of numbers that are in the opposite order of the logarithmic scale. It is used to find the antilogarithm of a number.
The table is as follows:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100
Examples of Antilogarithms
- The antilogarithm of 1 is 10.
- The antilogarithm of 2 is 20.
- The antilogarithm of 3 is 30.
- The antilogarithm of 4 is 40.
- The antilogarithm of 5 is 50.
- The antilogarithm of 6 is 60.
- The antilogarithm of 7 is 70.
- The antilogarithm of 8 is 80.
- The antilogarithm of 9 is 90.
Sample Questions
1. What is an antilog?
2. How is an antilog used in mathematics?
3. What are some examples of equations that can be solved using an antilog?
4. What are the steps involved in solving an equation with an antilog?
5. What is the difference between a logarithm and an antilog?
6. How can an antilog be used to calculate exponential growth?
7. What is the difference between an antilog and an exponential function?
8. What are the applications of antilog in real life?
9. How can an antilog be used in data analysis?
10. What are the advantages and disadvantages of using an antilog?
FAQs
Q: What is an antilog?
A: An antilog is a number that is the inverse of another number when both are raised to the same power. It is the opposite of a logarithm, which is a number that is the result of raising a base to a certain power. For example, if the base is 10 and the power is 2, then the logarithm is 100 and the antilog is 0.01.
Q: What is the formula for calculating an antilog?
A: The formula for calculating an antilog is: antilog = base^power. For example, if the base is 10 and the power is 2, then the antilog is 10^2 = 100.
Q: What is the purpose of an antilog?
A: An antilog is used to calculate the original number from a logarithm. It can also be used to determine the base from an existing logarithm.
Q: How do you use an antilog in practice?
A: An antilog can be used in a variety of applications, such as calculating exponential growth or solving math problems. It can also be used to calculate the base of a logarithmic equation or to find the original number after it has been converted to a logarithm.
