What is antilogarithm with example?

What is antilogarithm with example?

Scientific definitions for antilogarithm

The number whose logarithm is a given number. For example, the logarithm of 1,000 (103) is 3, so the antilogarithm of 3 is 1,000. In algebraic notation, if log x = y, then antilog y = x.

How do you find the antilog on a table?

How to Find Antilog?

  1. Step – 1: Find the characteristic and mantissa.
  2. Step – 2: Concentrate only on mantissa in this step.
  3. Step – 3: In the same row, look for the mean difference corresponding to the 4th digit of mantissa.
  4. Step – 4: Put a decimal point right after the first digit (of the number from Step – 3) always.

What is mean difference in logarithm table?

The first two digits of these 4 digits give the row number, the 3rd digit is the column number, and the 4th digit is the mean difference. Just find the number in the log table that is in the intersection point of the row and column and add the mean difference of the 4th digit of the same row to that number.

What is the formula of antilogarithm?

The formula for solving this problem is y = b³, where b is the logarithmic base, and y is the result. For example, if the base is 10 (as is the base for our regular number system), the result is 1000. If the base is 2, the antilog of 3 is 8.

What is the antilog of 2?

Some important antilog values

antilog(2) 102 100
antilog(0) 100 1
antilog(4) 104 10000
antilog(5) 105 100000
antilog(9) 109 1000000000

What is the antilog of 3?

What is Antilog? The antilogarithm (also called an antilog) is the inverse of the logarithm transform. Since the logarithm (base 10) of 1000 equals 3, the antilogarithm of 3 is 1000.

How can log and antilog be used in a table?

Both logarithm and antilog have their base as 2.7183. If the logarithm and antilogarithm have their base 10, that should be converted into natural logarithm and antilog by multiplying it by 2.303.

Related Links
Logarithm Formula Logarithmic Differentiation
Natural Log Formula Logarithm Calculator

What is the antilog of 5?

Some important antilog values

antilog(2) 102 100
antilog(5) 105 100000
antilog(9) 109 1000000000
antilog(12) 1012 1000000000000
antilog(20) 1020 1.0E+20

How do you use a log table?

Using the logarithm table, Calculate the characteristic, which is determined by the whole number part of the given number. Calculate the mantissa, which is determined by the significant digits of the given number. Finally, combine the characteristic and mantissa with a decimal point.

How do you read a log table?

4: How do you read a Log Table? Ans: Take the first 2 digits of the number irrespective of the decimal and look for the row with that number. Next, look for the column number corresponding to the third digit of the number. You may also need to look into the mean difference table to get the final value.

How do you take antilog and log?

The base should be the same for both the numbers. Taking log on both sides, we have, log b x y = p + q = log b x + log b y. The division of the two numbers is the antilog of the difference of logarithm of the two numbers.

What is the antilog of a number?

Antilog Definition: The Antilog, which is also known as “Anti- Logarithms” of a number is the inverse technique of finding the logarithm of the same number. Consider, if x is the logarithm of a number y with base b, then we can say y is the antilog of x to the base b. It is defined by. If logb y = x Then, y = antilog x.

What is the value of antilog 10?

AntiLog(10) value = 1010.

What is the antilog of zero?

Some important antilog values

antilog(2) 102 100
antilog(15.6) 1015.6 3.981071705535E+15
antilog(8) 108 100000000
antilog(0) 100 1
antilog(4) 104 10000

What is the antilog of 7?

10000000
The antilog of 7 is equal to 10000000.

What is the value of log10?

Value of Log 1 to 10 for Log Base 10

Common Logarithm to a Number (log10 x) Log Value
Log 7 0.8450
Log 8 0.9030
Log 9 0.9542
Log 10 1

What is the value of log 1 to 10?

0
Log Values from 1 to 10

Log 1 0
Log 7 0.8450
Log 8 0.9030
Log 9 0.9542
Log 10 1

What is the use of log table?

In mathematics, the logarithm table is used to find the value of the logarithmic function. The simplest way to find the value of the given logarithmic function is by using the log table.

How do you calculate the value of log?

To calculate the logarithm of any number, simply follow these simple steps:

  1. Decide on the number you want to find the logarithm of.
  2. Decide on your base – in this case, 2.
  3. Find the logarithm with base 10 of number 100.
  4. Find the logarithm with base 10 of number 2.

Is antilog the same as negative log?

Negative Log FAQ
In most cases, the terms negative log and antilog are used interchangeably.

How do you find the log and antilog without a calculator?

Find anti log without log table and Calculator( Trick ) – YouTube

What is the antilog of 10?

Some important antilog values

antilog(2) 102 100
antilog(1) 101 10
antilog(10) 1010 10000000000
antilog2 5 25 32
antilog2 2 22 4

How do you find the antilog of 2?

1 Answer

  1. If log(a)=b. then antilog(b)=a.
  2. So we are looking for the value a for which. log(a)=2.
  3. By definition of log. log(a)=2. means. 102=a.

What is the value of antilog of 100?

What is log and antilog?

The anti-logarithm of a number is the inverse process of finding the logarithms of the same number. If x is the logarithm of a number y with a given base b, then y is the anti-logarithm of (antilog) of x to the base b. Natural Logarithms and Anti-Logarithms have their base as 2.7183.

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