ln(0.008/X)=1

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Solution for ln(0.008/X)=1 equation: 


D( X )

0.008/X <= 0

X = 0

0.008/X <= 0

0.008/X <= 0

0.008*X^-1 <= 0

0.008*X^-1 <= 0 // : 0.008

X^-1 <= 0/0.008

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 = 0

X = 0

X in (0:+oo)

ln(0.008/X) = 1 // - 1

ln(0.008/X)-1 = 0

ln(0.008/X)-1 = 0 // + 1

ln(0.008/X) = 1

ln(0.008/X) = ln(e^1)

0.008/X = e^1

0.008/X-e^1 = 0

0.008*X^-1 = e // : 0.008

X^-1 = 125*e

-1 < 0

1/(X^1) = 125*e // * X^1

1 = 125*e*X^1 // : 125*e

1/(125*e) = X^1

X = 1/(125*e)

X = 1/(125*e)

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