Antilogarithm

If log M = x, then M is called the antilogarithm of x and is written as M = antilog x.

For example, if log 39.2 = 1.5933, then antilog 1.5933 = 39.2.

If the logarithmic value of a number be given then the number can be determined from the antilog-table. Antilog-table is similar to log-table; only difference is in the extreme left-hand column which ranges from .00 to .99. 


Example on antilogarithm:

1. Find antilog 2.5463. 

Solution: 

Clearly, we are to find the number whose logarithm is 2.5463. For this consider the mantissa .5463. Now find .54 in the extreme left-hand column of the antilog-table (see four-figure antilog-table) and then move horizontally to the right to the column headed by 6 of the top-most row and read the number 3516. Again we move along the same horizontal line further right to the column headed by 3 of mean difference and read the number 2 there. This 2 is now added to the previous number 3516 to give 3518. Since the characteristic is 2, there should be three digits in the integral part of the required number. 

Therefore, antilog 2.5463 = 351.8. 

2. If log x = -2.0258, find x. 

Solution:

In order to find the value of x using antilog-table, the decimal part (i.e., the mantissa) must be made positive. For this we proceed as follows:

log x = -2.0258 = - 3 + 3 - 2.0258

= - 3 + .9742 =3.9742

Therefore, x = antilog 3.9742.

Now, from antilog table we get the number corresponding to the mantissa
.9742 as (9419 + 4) = 9423.
Again the characteristic in log x is (- 3).

Hence, there should be two zeroes between the decimal point and the first significant digit in the value of x.
Therefore, x = .009423.



 Mathematics Logarithm

Mathematics Logarithms

Convert Exponentials and Logarithms

Logarithm Rules or Log Rules

Solved Problems on Logarithm

Common Logarithm and Natural Logarithm

Antilogarithm









Logarithms 

11 and 12 Grade Math 

From Antilogarithm to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Divide by Repeated Subtraction | Division as Repeated Subtraction

    Jan 21, 25 09:09 AM

    Divide by Repeated Subtraction
    How to divide by repeated subtraction? We will learn how to find the quotient and remainder by the method of repeated subtraction a division problem may be solved.

    Read More

  2. Division Sharing and Grouping | Facts about Division | Basic Division

    Jan 21, 25 08:06 AM

    Sharing and Grouping
    We will learn division sharing and grouping. Share eight strawberries between four children. Let us distribute strawberries equally to all the four children one by one.

    Read More

  3. 3rd Grade Multiplication Worksheet | Grade 3 Multiplication Questions

    Jan 20, 25 02:31 PM

    3rd Grade Multiplication Riddle
    In 3rd Grade Multiplication Worksheet we will solve how to multiply 2-digit number by 1-digit number without regrouping, multiply 2-digit number by 1-digit number with regrouping, multiply 3-digit num…

    Read More

  4. 3rd Grade Math Worksheets |3rd Grade Math Sheets|3rd Grade Math Lesson

    Jan 20, 25 12:28 AM

    3rd Grade Math Worksheets
    3rd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. Teachers and parents can also follow the worksheets to guide the students.

    Read More

  5. 3rd Grade Multiplication Word Problems Worksheet With Answers | Math

    Jan 19, 25 11:29 PM

    In 3rd Grade Multiplication Word Problems Worksheet we will solve different types of problems on multiplication, multiplication word problems on 3-digits number by 1-digit number and multiplication wo…

    Read More