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WEEK 1:
TOPIC: LOGARITHM 1
Content:
- Comparison of characteristics of logarithms and standard form of numbers.
- Revision of logarithm numbers greater than 1.
Comparison of characteristics of logarithms and standard form of numbers
There is a relationship between the standard form and the logarithm of a number.
For instance, (a) 189.7 = (1.897×10)2
This shows that the logarithm of a number is the power to which the base 10 is raised. Hence, Logarithm of 189.7 = 2.2781, where 189.7 = 102.2781
(b) 850.9 = 8.509×102 (standard form)
Log850.9 = 2.9299
The integer (characteristics) is the same with the power 10
Revision of logarithm numbers greater than 1
Logarithm of numbers is the power to which 10 is raised to give that number. Logarithms used in calculations are normally expressed in base 10.
Rules for the use of Logarithms
Multiplication: find the logarithms of the numbers and add them together
Division: find the logarithm of each number. Then subtract the logarithm of the denominator from that of the numerator
Powers: find the logarithm of the number and then multiply it by the power or the index
Roots: find the logarithm of the number and then divide it by the root
Example1: Evaluate using logarithm tables 19.28×2.987×195.8
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