1.54=ln(0.01/x)

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Solution for 1.54=ln(0.01/x) equation: 


D( x )

0.01/x <= 0

x = 0

0.01/x <= 0

0.01/x <= 0

0.01*x^-1 <= 0

0.01*x^-1 <= 0 // : 0.01

x^-1 <= 0/0.01

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)

1.54 = ln(0.01/x) // - ln(0.01/x)

1.54-ln(0.01/x) = 0

1.54-ln(0.01/x) = 0 // - 1.54

-ln(0.01/x) = -1.54

-ln(0.01/x) = -1.54 // * -1

ln(0.01/x) = ln(e^1.54)

0.01/x = e^1.54

0.01/x-e^1.54 = 0

0.01*x^-1 = e^1.54 // : 0.01

x^-1 = 100*e^1.54

-1 < 0

1/(x^1) = 100*e^1.54 // * x^1

1 = 100*e^1.54*x^1 // : 100*e^1.54

1/(100*e^1.54) = x^1

x = 1/(100*e^1.54)

x = 1/(100*e^1.54)

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