2ln(x)-3ln(1/x)=10

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Solution for 2ln(x)-3ln(1/x)=10 equation: 


D( x )

x <= 0

x = 0

1/x <= 0

x <= 0

x = 0

x = 0

1/x <= 0

1/x <= 0

1*x^-1 <= 0

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

x^-1 <= 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)

2*ln(x)-(3*ln(1/x)) = 10 // - 10

2*ln(x)-(3*ln(1/x))-10 = 0

2*ln(x)-3*ln(1/x)-10 = 0

ln(1*x^2)-3*ln(1/x)-10 = 0

ln((1*x^2)/((1/x)^3))-10 = 0

ln((1*x^2)/((1/x)^3))+ln(1/(e^10)) = 0

ln((1*x^2)/((1/x)^3))+ln(1/(e^10)) = 0 // - ln(1/(e^10))

ln((1*x^2)/((1/x)^3)) = -ln(1/(e^10))

(1*x^2)/((1/x)^3) = 1/(1/(e^10))

(1*x^2)/((1/x)^3)-(1/(1/(e^10))) = 0

1*x^5 = e^10 // : 1

x^5 = e^10

x^5 = e^10 // ^ 1/5

x = e^2

x = e^2

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