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For any x1, X2 (x1 ≠ x2) in the domain of definition of function f (x), we have the following conclusion: (1) f (x1 + x2) = f (x1) * f (x2) (2) f (x1 * x2) = f (x1) + F (x) (1)f(x1+x2)=f(x1)*f(x2) (2)f(x1*x2)=f(x1)+f(x2) (3)[f(x1)-f(x2)]/(x1-x2)>0 (4) f[(x1+x2)/2]
prove:
(1) F (x1 + x2) = LG (x1 + x2) ≠ LG (x1x2)
(2) F (x1x2) = LG (x1x2) = LG (x1) + LG (x2) = f (x1) + F (x2)
(3) . establishment
∵ f (x) is an increasing function
When X1 > X2, f (x1) > F (x2), namely [f (x1) - f (x2)] / (x1-x2) > 0
When x1
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