ln(2x)=-1/2

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


D( x )

2*x <= 0

2*x <= 0

2*x <= 0

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

2*x <= 0 // : 2

x <= 0/2

x <= 0

x in (0:+oo)

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

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

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

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

ln(2*x) = -1/2

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

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

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

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

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

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

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