-1.09375=ln(0.1/x)

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Solution for -1.09375=ln(0.1/x) equation:


D( x )

x = 0

0.1/x <= 0

x = 0

x = 0

0.1/x <= 0

0.1/x <= 0

0.1*x^-1 <= 0

0.1*x^-1 <= 0 // : 0.1

x^-1 <= 0/0.1

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)

-1.09375 = ln(0.1/x) // - ln(0.1/x)

-ln(0.1/x)-1.09375 = 0

-ln(0.1/x)-1.09375 = 0 // + 1.09375

-ln(0.1/x) = 1.09375

-ln(0.1/x) = 1.09375 // * -1

ln(0.1/x) = ln(e^-1.09375)

0.1/x = e^-1.09375

0.1/x-e^-1.09375 = 0

0.1*x^-1 = e^-1.09375 // : 0.1

x^-1 = 10*e^-1.09375

-1 < 0

1/(x^1) = 10*e^-1.09375 // * x^1

1 = 10*e^-1.09375*x^1 // : 10*e^-1.09375

1/(10*e^-1.09375) = x^1

x = 1/(10*e^-1.09375)

x = 1/(10*e^-1.09375)

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