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Examples on Log rules:
Example: Calculate (1/3)log10 2.
Solution: logb n√A = logb A1/n = (1/n)logb A
(1/3)log10 2
= log10 3√2
= log10 1.259
= 0.1003
Example: Calculate log10 1.
Solution:
Rule 6. logb 1 = 0
log10 1 = 0
Example: Calculate -log10 2.
Rule 7: logb (1/A) = -logbA
-log10 2
= log10 (1/2)
= -log10 0.5
= -0.3010
Question 1: (a) Show that, for all sets A, B and C, (i) (A ∩ B) c = A c ∩B c . (ii) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). (iii) A - (B ∪ C) = (A - B) ∩ (A - C).
CO-ORDINATE GEOMETRY : Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.
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