SS2 First Term Mathematics Lesson Note – Logarithm

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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 = 10^2.2781

(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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