ln(2x)=3/2

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Solution for ln(2x)=3/2 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) = 3/2 // - 3/2

ln(2*x)-(3/2) = 0

ln(2*x)-3/2 = 0

ln(2*x)-3/2 = 0 // + 3/2

ln(2*x) = 3/2

ln(2*x) = ln(e^(3/2))

2*x = e^(3/2)

2*x-e^(3/2) = 0 // + e^(3/2)

2*x = e^(3/2) // : 2

x = (e^(3/2))/2

x = (e^(3/2))/2

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