Examples on Log rules:
Example: Calculate (1/3)log_{10} 2.
Solution: log_{b} n√A = log_{b} A^{1/n }= (1/n)log_{b} A
(1/3)log_{10} 2
= log_{10} ^{3}√2
= log_{10} 1.259
= 0.1003
Example: Calculate log_{10} 1.
Solution:
Rule 6. log_{b }1 = 0
log_{10} 1 = 0
Example: Calculate -log_{10} 2.
Rule 7: log_{b} (1/A) = -log_{b}A
-log_{10} 2
= log_{10} (1/2)
= -log_{10 } 0.5
= -0.3010