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WEEK 3

TOPIC: LOGARITHMS

CONTENT:

Use Of Logarithm Table And Antilogarithm Table In Calculation Involving

  1. Multiplication
  2. Division
  • Powers
  1. Roots
  2. Application of logarithm in capital market and other real-life problems

Logarithm and antilogarithm tables are used to perform some arithmetic basic operations namely: multiplication and division. Also, we use logarithm in calculations involving powers and roots.

The basic principles of calculation using logarithm depends strictly on the laws on indices. Recall that.

  • Log MN = Log M + Log N
  • Log = Log M – Log N

Hence, we conclude that in logarithm;

  1. When numbers are multiplied, we add their logarithms
  2. When two numbers are dividing, we subtract their logarithms.

 

  • Multiplication of numbers using logarithm tables

Example 1

Evaluate 92.63 x 2.914

Solution

Number Standard form Log operation
92.63 9.263 x 101 1.9667  
2.914 2.914 x 100 0.4645 add
    2.4312  

Antilog of 2.4312 =269.9

Example 2

Evaluate 34.83 x 5.427

Solution

Number Standard form Log operation
34.83 3.483 x 101 1.5420  
5.427 5.427 x 100 0.7346 add
    2.2766  

Antilog of log 2.2766 = 189.1

Class Activity:

Evaluate the following

  1. 26 x 23.83
  2. 1 x 3.932
  3. 31 x 22.45 x 19.64

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