Examples on log rules, Mathematics

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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.

Solution:

Rule 7: logb  (1/A) = -logbA

-log10  2

= log10  (1/2)

= -log10  0.5

= -0.3010


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