2ln(x/2)=-1

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


D( x )

x/2 <= 0

x/2 <= 0

x/2 <= 0

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

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

x <= 0/1/2

x <= 0

x in (0:+oo)

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

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

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

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

ln(x/2) = -1/2

ln(x/2) = ln(e^(-1/2))

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

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

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

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

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

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

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

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