ln(9/2x)=3/2

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Solution for ln(9/2x)=3/2 equation: 


D( x )

(9/2)*x <= 0

(9/2)*x <= 0

(9/2)*x <= 0

9/2*x+0 <= 0 // - 0

9/2*x <= 0 // : 9/2

x <= 0/9/2

x <= 0

x in (0:+oo)

ln((9/2)*x) = 3/2 // - 3/2

ln((9/2)*x)-(3/2) = 0

ln((9/2)*x)-3/2 = 0

ln((9/2)*x)-3/2 = 0 // + 3/2

ln((9/2)*x) = 3/2

ln((9/2)*x) = ln(e^(3/2))

(9/2)*x = e^(3/2)

(9/2)*x-e^(3/2) = 0

9/2*x-e^(3/2) = 0 // + e^(3/2)

9/2*x = e^(3/2) // : 9/2

x = (e^(3/2))/9/2

x = 2/9*e^(3/2)

x = 2/9*e^(3/2)

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