ln(20/x)=7.2*10^-6

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Solution for ln(20/x)=7.2*10^-6 equation: 


D( x )

x = 0

20/x <= 0

x = 0

x = 0

20/x <= 0

20/x <= 0

20*x^-1 <= 0

20*x^-1 <= 0 // : 20

x^-1 <= 0/20

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(20/x) = 7.2*10^-6 // - 7.2*10^-6

ln(20/x)-(7.2*10^-6) = 0

ln(20/x)-7.2*10^-6 = 0

ln(20/x)-0.0000072 = 0 // + 0.0000072

ln(20/x) = 0.0000072

ln(20/x) = ln(e^0.0000072)

20/x = e^0.0000072

20/x-e^0.0000072 = 0

20*x^-1 = e^0.0000072 // : 20

x^-1 = (e^0.0000072)/20

-1 < 0

1/(x^1) = (e^0.0000072)/20 // * x^1

1 = ((e^0.0000072)/20)*x^1 // : (e^0.0000072)/20

20*e^-0.0000072 = x^1

x = 20*e^-0.0000072

x = 20*e^-0.0000072

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