ln((3.46*10^-5)/x)=0.9819

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Solution for ln((3.46*10^-5)/x)=0.9819 equation: 


D( x )

(3.46*10^-5)/x <= 0

x = 0

(3.46*10^-5)/x <= 0

(3.46*10^-5)/x <= 0

0.0000346*x^-1 <= 0

0.0000346*x^-1 <= 0 // : 0.0000346

x^-1 <= 0/0.0000346

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((3.46*10^-5)/x) = 0.9819 // - 0.9819

ln((3.46*10^-5)/x)-0.9819 = 0

ln((3.46*10^-5)/x)-0.9819 = 0 // + 0.9819

ln((3.46*10^-5)/x) = 0.9819

ln((3.46*10^-5)/x) = ln(e^0.9819)

(3.46*10^-5)/x = e^0.9819

(3.46*10^-5)/x-e^0.9819 = 0

0.0000346*x^-1 = e^0.9819 // : 0.0000346

x^-1 = 28901.73410405*e^0.9819

-1 < 0

1/(x^1) = 28901.73410405*e^0.9819 // * x^1

1 = 28901.73410405*e^0.9819*x^1 // : 28901.73410405*e^0.9819

0.0000346*e^-0.9819 = x^1

x = 0.0000346*e^-0.9819

x = 0.0000346*e^-0.9819

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