By Team Aakash Byju's

Define Log Value Table and Explain How to  Use It

The logarithm table is a mathematical tool for determining the value of a logarithmic function.

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 The exponent by which a number's base should be raised to get the original number is called the logarithm.

Example

There are three sorts of columns in the log table:

The first column, called the "main column" has integers ranging from 10 to 99. (All 2 digit numbers)

10  To  99

The "differences column" is the second set of column and it displays  the differences for  the digits 0 to 9.

0  To  9

The "mean differences column" is the third set of column and it displays mean differences  from 1 to 9.

1 To  9

Any number's logarithm consists of two parts: 

- Characteristic and  - Mantissa. 

A decimal point always separates these two portions.

Here   characteristic =1   mantissa = 3762

Below are the Parts of logarithm of a number:

To find the log value of a number using the log table, follow the steps.

You must first understand how to use the log table. The log table is provided as a resource for determining the values.

Recognize the notion of a logarithm. A specific base is required for each log table. Log base 10 is the most popular type of logarithm table.

Determine the mantissa and distinctive parts of the given integer.

Here,  characteristic =13  mantissa =27.

Use a standard log table. Now go to row 13, check column 2, and record the value that corresponds. As a result, the result is 1206.

Use the mean difference logarithm table. Slide your finger across the mean difference column number 7 and row number 13. so 23 will be  the result.

Now add 1206+23=1229.so 23 will be  the result.

Add the rounded values in the table.

1206+23=1229

Mantissa part = 1229

 Characteristic = 1  (because the number 13 is between 10 and 100)

characteristic + mantissa = 1.1229.