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WEEK 3
TOPIC: LOGARITHMS
CONTENT:
Use Of Logarithm Table And Antilogarithm Table In Calculation Involving
- Multiplication
- Division
- Powers
- Roots
- 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;
- When numbers are multiplied, we add their logarithms
- 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
- 26 x 23.83
- 1 x 3.932
- 31 x 22.45 x 19.64
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