18ln(1/5x)=54

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Solution for 18ln(1/5x)=54 equation: 


D( x )

(1/5)*x <= 0

(1/5)*x <= 0

(1/5)*x <= 0

1/5*x+0 <= 0 // - 0

1/5*x <= 0 // : 1/5

x <= 0/1/5

x <= 0

x in (0:+oo)

18*ln((1/5)*x) = 54 // - 54

18*ln((1/5)*x)-54 = 0

18*ln((1/5)*x)-54 = 0 // + 54

18*ln((1/5)*x) = 54 // : 18

ln((1/5)*x) = 54/18

ln((1/5)*x) = 3

ln((1/5)*x) = ln(e^3)

(1/5)*x = e^3

(1/5)*x-e^3 = 0

1/5*x-e^3 = 0 // + e^3

1/5*x = e^3 // : 1/5

x = (e^3)/1/5

x = 5*e^3

x = 5*e^3

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