ln(1/(e^2x))

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Solution for ln(1/(e^2x)) equation: 


D( x )

e^2*x = 0

1/(e^2*x) <= 0

e^2*x = 0

e^2*x = 0

e^2*x = 0 // : e^2

x = 0

1/(e^2*x) <= 0

1/(e^2*x) <= 0

(1/(e^2))*x^-1 <= 0

(1/(e^2))*x^-1 <= 0 // : 1/(e^2)

x^-1 <= 0/(1/(e^2))

x^-1 <= 0

1/(x^1) <= 0

x <> 0

1/(x^1) <= 0 // * x^2

(x^2)/(x^1) <= 0

x^1 <= 0

x <= 0

x in (-oo:0)

x in (0:+oo)

ln(1/(e^2*x)) = 0

ln(1/(e^2*x)) = ln(e^0)

1/(e^2*x) = e^0

1/(e^2*x)-e^0 = 0

(1/(e^2))*x^-1 = 1 // : 1/(e^2)

x^-1 = e^2

-1 < 0

1/(x^1) = e^2 // * x^1

1 = e^2*x^1 // : e^2

1/(e^2) = x^1

x = 1/(e^2)

x = 1/(e^2)

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