ln(3x-3/x-2)=0

Simple and best practice solution for ln(3x-3/x-2)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for ln(3x-3/x-2)=0 equation: 


D( x )

x = 0

3*x-(3/x)-2 <= 0

x = 0

x = 0

3*x-(3/x)-2 <= 0

3*x-(3/x)-2 <= 0

3*x-3*x^-1-2 <= 0

3*x-3*x^-1-2 = 0

3*x^1-3*x^-1-2*x^0 = 0

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

x^1*(3*x^2-2*x^1-3*x^0) = 0

x^1

3*x^2-2*x-3 = 0

3*x^2-2*x-3 = 0

DELTA = (-2)^2-(-3*3*4)

DELTA = 40

DELTA > 0

x = (40^(1/2)+2)/(2*3) or x = (2-40^(1/2))/(2*3)

x = (2*10^(1/2)+2)/6 or x = (2-2*10^(1/2))/6

x in { (2-2*10^(1/2))/6, (2*10^(1/2)+2)/6} 

(x-((2-2*10^(1/2))/6))*(x-((2*10^(1/2)+2)/6)) <= 0

	(-oo:(2-2*10^(1/2))/6)	((2-2*10^(1/2))/6:(2*10^(1/2)+2)/6)	((2*10^(1/2)+2)/6:+oo)
x-((2-2*10^(1/2))/6)	-	+	+
x-((2*10^(1/2)+2)/6)	-	-	+


x in (-oo:(2-2*10^(1/2))/6) U ((2*10^(1/2)+2)/6:+oo)

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

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

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

3*x-3*x^-1-2 = e^0

3*x-3*x^-1-e^0-2 = 0

3*x^1-3*x^-1-3*x^0 = 0

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

x^1*(3*x^2-3*x^1-3*x^0) = 0

x^1

3*x^2-3*x-3 = 0

3*x^2-3*x-3 = 0

DELTA = (-3)^2-(-3*3*4)

DELTA = 45

DELTA > 0

x = (45^(1/2)+3)/(2*3) or x = (3-45^(1/2))/(2*3)

x = (3*5^(1/2)+3)/6 or x = (3-3*5^(1/2))/6

x in { (3-3*5^(1/2))/6, (3*5^(1/2)+3)/6} 

x in { (3-3*5^(1/2))/6} 

x = (3*5^(1/2)+3)/6

See similar equations:

| 4b+27=3 | | a(n)=0.2n+2.6S(61) | | 4n+5=6n+3+8-4 | | 5x-2=6x+16 | | a(n)=0.2n+2.6findS(61) | | 6x+10=180 | | 10=x-12 | | -2(w-8)+7w+1= | | 6(4x+5)=2(20x+7) | | 5u(u-8)=0 | | 3/5=4/7y | | 3(z-3)+5z-1= | | 9(-2)(0)(-5)= | | 12S=20985(8) | | 7x^2+53X=-28 | | 5x^2=33x+14 | | 18-(4m+7)=3+4m-16 | | 24x^5y^4= | | 12S=20913(4) | | f(x)=0.25t^2-0.5t+3.5 | | 2x(3x+4)+1(3x+4)= | | 6/√3=x | | (10-3)-5=10-(3-5) | | 112=2(x+5)(x-2) | | 9x+3=5x+35 | | A=(X+1)(3X+1) | | (20+10)+2=20+2(10+2) | | 18-(5m+7)=5+3m-18 | | -(x-1)+5=2(x+3) | | (x^3)-(9x^2)+15x+25=0 | | I=100(.13)(2) | | 3x/2-x=×/6-5/3 |

Equations solver categories