1/2ln(5x)=4

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Solution for 1/2ln(5x)=4 equation: 


D( x )

5*x <= 0

5*x <= 0

5*x <= 0

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

5*x <= 0 // : 5

x <= 0/5

x <= 0

x in (0:+oo)

(1/2)*ln(5*x) = 4 // - 4

(1/2)*ln(5*x)-4 = 0

1/2*ln(5*x)-4 = 0 // + 4

1/2*ln(5*x) = 4 // : 1/2

ln(5*x) = 4/1/2

ln(5*x) = 8

ln(5*x) = ln(e^8)

5*x = e^8

5*x-e^8 = 0 // + e^8

5*x = e^8 // : 5

x = (e^8)/5

x = (e^8)/5

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