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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
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Example Find the values of the given expressions. Also given that a = 2, b = 3, c = 1, and x = 2. 8a + 5bc = 8.2
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