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Log table (which is also known as logarithm table) is used to find the logarithm of any number using the characteristic and mantissa. Using the log table, we can do all difficult calculations in the easiest way. ... For example, log 23.78 = 1.3762, and here, 1 is called the characteristic, and 3762 is called the mantissa. i.e., in the logarithm ...

Understand the anti-log table. Use this when you have the log of a number but not the number itself. In the formula 10 n = x, n is the common log, or base-ten log, of x. If you have x, find n using the log table. If you have n, find x using the anti-log table. The anti-log is also commonly known as the inverse log.

Solved Examples on Logarithm Table. Let’s see some solved examples of where we can apply the Logarithm Table. It will help you to get some practice for exams. Solved Example 1: Find the value of x if \(log_2(2x)+log_24=log_216\) Solution: \(log_2(2x)+log_24=log_216\) From the product property we know that,

Here, f(x) is the Logarithm Function to the base ‘b’. The most common bases used in Log Functions are base e and base 10. Common Logarithm [f(x) = log 10 x]: The Logarithm to base 10 (that is b = 10) is called the Common Logarithm and has many applications in Science and Engineering.. Natural Logarithm [f(x) = log e x]: The Natural Logarithm has the number e (≈ 2.718) as its base.

Here the sample example to find the value of the logarithmic function using the logarithm table is given. Example 1: Find the value of log 10 2.872. Solution: Step 1: Characteristic Part= 2 and mantissa part= 872. Step 2: Check the row number 28 and column number 7. So the value obtained is 4579.

Example of Log Tables The following is an extract of a set of log tables that express the mantissa of the common logarithm of a given number to $4$ significant figures :

Logarithm tables are invaluable tools that simplify complex mathematical... Your All-in-One Learning Portal. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions.

LOGARITHM TABLE. Before computers and calculators, logarithms were quickly calculated using a logarithm table. ... For example, the Richter scale for measuring earthquake magnitudes uses a logarithmic scale. Simplifying Complex Operations: Logarithms can simplify mathematical operations involving multiplication, division, ...

Logarithm Formulas, Rules, Examples & Log Table Logarithms play a significant role in mathematics and real-world applications, making them an essential topic to understand. In this article, we will explore logarithm formulas, rules, properties, and provide solved examples to clarify concepts.

Download the Log Table in Image Format or PDF Format. 1. Solved Examples for Product Rule of Logarithm. Rule: log a xy = log a x + log a y Question: Solve this: log 2 4*16 using Log Law. The same question can also be written as log 2 4 + log 2 16. Answer: log 2 4*16 => log 2 4 + log 2 16 => log 2 2 2 + log 2 2 4 => 2log 2 2 + 4log 2 2 => 2 * 1 + 4 * 1

Step 1: Select the Appropriate Table. To obtain the value of log X, use the base -‘a' table. If a=10, the base-10 table should be used as the log table. Step 2 In scientific notation, write the number. 31.62, for example, is represented as 3.162 X 101. As a result, the power of ten is now one.

How to use Log Table with Example. To use a Log Table with an example, follow these steps: Understand the Concept: Each Log Table is specific to a certain base, commonly base 10. Logarithms are used to simplify calculations involving exponentiation and multiplication.

YouTube; Facebook; Instagram; Twitter; INTRODUCTION. The logarithm is an important and diversified topic in mathematics. In this article, we will discuss the logarithm of numbers, teach you how to use the logarithm table, carry out logarithm examples with solutions and finally show you how to find the antilogarithm which is the converse of the logarithm.

1. Different log tables are used for common logarithm and Natural logarithm depending on the base of the logarithm. We have to refer to the common logarithm table as the base is 10. 2. Search for the row number corresponding to the first two digits 15. Search for the column number corresponding to the third digit of 5.

Interactive Log Table. In this next section, you can create different sized log tables, with different bases. By exploring the values given in the tables, you can better understand how logs work. For example, when the base is 2, the log of 8 is 3.0000. This is simply because `2^3=8`. Logarithms are just index expressions written sideways, after ...

Log Table 1 to 10 Overview. Logarithms are one of the most important mathematical concepts that find application in various fields, including engineering, physics, and computer science. ... To convert a number from logarithmic to exponential form, raise the base to the power of the logarithm. For example, if log10(x) = 2, then x = 10^2 = 100. ...

Examples: Use the tables to find the log of: 37 (b) 3900 to base ten; Solutions. 37 = 3.7 X 10 =3.7 X 10 1 (standard form) =10 0.5682 + 1 X10 1 (from table) ... It is possible to use logarithm table in reverse. However, it’s convenient to use the tables of antilogarithms. When finding an antilogarithm, look up the fractional part only, then ...

Most log tables are for base-10 logarithms, called "common logs." Example: log 10 (31.62) requires a base-10 table. Find the correct cell. Look for the cell value at the following intersections, ignoring all decimal places: Row labeled with first two digits of n; Column header with third digit of n; Example: log 10 (31.62) → row 31, column 6 ...

The above examples shows that the logarithm of a (positive) real number may be negative, zero or positive. 3. Logarithmic values of a given number are different for different bases. 4. Logarithms to the base a 10 are called common logarithms. Also, logarithm tables assume base 10. If no base is given, the base is assumed to be 10. ...