ln((1/2)x)=ln(2x)

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Solution for ln((1/2)x)=ln(2x) equation: 


D( x )

2*x <= 0

(1/2)*x <= 0

2*x <= 0

2*x <= 0

2*x+0 <= 0 // - 0

2*x <= 0 // : 2

x <= 0/2

x <= 0

(1/2)*x <= 0

(1/2)*x <= 0

1/2*x+0 <= 0 // - 0

1/2*x <= 0 // : 1/2

x <= 0/1/2

x <= 0

x in (0:+oo)

ln((1/2)*x) = ln(2*x) // - ln(2*x)

ln((1/2)*x)-ln(2*x) = 0

ln(1*(1/2)*x)-ln(2*x) = 0

ln((1*(1/2)*x)/(2*x)) = 0

ln(((1/2)*x)/(2*x)) = 0

ln(((1/2)*x)/(2*x)) = ln(e^0)

((1/2)*x)/(2*x) = e^0

((1/2)*x)/(2*x)-e^0 = 0

-3/4 = 0

x belongs to the empty set

x belongs to the empty set

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