(ln(0.5)/ln(1-x))=2

Simple and best practice solution for (ln(0.5)/ln(1-x))=2 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(0.5)/ln(1-x))=2 equation: 


D( x )

ln(1-x) = 0

1-x <= 0

ln(1-x) = 0

ln(1-x) = 0

ln(1-x) = ln(e^0)

1-x = e^0

1-x-e^0 = 0

-1*x = 0 // : -1

x = 0

1-x <= 0

1-x <= 0

1-x <= 0

-x <= -1 // * -1

x >= 1

x in (-oo:0) U (0:1)

ln(0.5)/ln(1-x) = 2 // - 2

ln(0.5)/ln(1-x)-2 = 0

t_2 = ln(1-x)

ln(0.5)/t_2-2 = 0

ln(0.5)*t_2^-1 = 2 // : ln(0.5)

t_2^-1 = 2/ln(0.5)

-1 < 0

1/(t_2^1) = 2/ln(0.5) // * t_2^1

1 = (2/ln(0.5))*t_2^1 // : 2/ln(0.5)

1/(2/ln(0.5)) = t_2^1

t_2 = 1/(2/ln(0.5))

ln(1-x) = 1/(2/ln(0.5))

ln(1-x) = ln(e^(1/(2/ln(0.5))))

1-x = e^(1/(2/ln(0.5)))

1-x-e^(1/(2/ln(0.5))) = 0 // - 1-e^(1/(2/ln(0.5)))

-x = -(1-e^(1/(2/ln(0.5)))) // * -1

x = 1-e^(1/(2/ln(0.5)))

x = 1-e^(1/(2/ln(0.5)))

See similar equations:

| A+b+y+8+e=8b | | m(m+5)=36 | | 8r+3=35 | | v/3-3.2=-22.4 | | 10x=1000+2y | | ln(0.5)/ln(1-x)=2 | | 9*5-8+2-7*2= | | 175=-5(1+6k) | | 4.2=2y-2.2 | | (x+5)(x-2)(2x-3)= | | x/7-8=-15 | | 214=-2n+4(-7n+1) | | 0.00062x=(52-15-24)(52-15-x)+513 | | 2(1+5b)=82 | | -2(t-3)+8= | | -3.5+p=14 | | 0.7(3x+3)=1.1-(x+3) | | -8+t=5 | | -8+t= | | 5(-8n+6)=-210 | | 3(2a-8)=8a-14 | | 8(14x-25)(3-1)+571-15x=1948(x-1)(2-1) | | -15+55=-4(x+3) | | 78x(21-1)(21+1)=x(51-17)(51+17) | | Y=3x^3+17x^2+10x | | -8(2r-1)=-120 | | 4=-4x-12 | | 4y-15=-10+6y | | 6x+100=9x+1 | | -5(8*6-4*5)+3= | | (3y-5)(y-10)=0 | | 2x+1+1=14 |

Equations solver categories