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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
(3x+2)^2 d^2y/dx^2+3(3x+2)dy/dx-36y=3x^2+4x+1
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