y=8/ln(x)

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Solution for y=8/ln(x) equation: 


D( x )

x <= 0

ln(x) = 0

x <= 0

ln(x) = 0

ln(x) = 0

ln(x) = ln(e^0)

x = e^0

x = 1

x in (0:1) U (1:+oo)

y = 8/ln(x) // - 8/ln(x)

y-(8/ln(x)) = 0

y-8*(ln(x))^-1 = 0

t_1 = ln(x)

-8*t_1^-1 = -y // : -8

t_1^-1 = y/8

-1 < 0

1/(t_1^1) = y/8 // * t_1^1

1 = t_1^1*(y/8) // : y/8

8*y^-1 = t_1^1

t_1 = 8*y^-1

ln(x) = 8*y^-1

ln(x) = ln(e^(8*y^-1))

x = e^(8*y^-1)

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