y=7/ln(x)

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Solution for y=7/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 = 7/ln(x) // - 7/ln(x)

y-(7/ln(x)) = 0

y-7*(ln(x))^-1 = 0

t_1 = ln(x)

-7*t_1^-1 = -y // : -7

t_1^-1 = y/7

-1 < 0

1/(t_1^1) = y/7 // * t_1^1

1 = t_1^1*(y/7) // : y/7

7*y^-1 = t_1^1

t_1 = 7*y^-1

ln(x) = 7*y^-1

ln(x) = ln(e^(7*y^-1))

x = e^(7*y^-1)

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