ln(x+1)-ln(x-1)=2*ln(2^1/2)

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


D( x )

x+1 <= 0

x-1 <= 0

x+1 <= 0

x+1 <= 0

x+1 <= 0 // - 1

x <= -1

x-1 <= 0

x-1 <= 0

x-1 <= 0 // + 1

x <= 1

x in (1:+oo)

ln(x+1)-ln(x-1) = 2*ln((2^1)/2) // - 2*ln((2^1)/2)

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

ln(x+1)-ln(x-1)-2*ln(2/2) = 0

ln(1*(x+1))-ln(x-1) = 0

ln((1*(x+1))/(x-1)) = 0

ln((x+1)/(x-1)) = 0

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

(x+1)/(x-1) = e^0

(x+1)/(x-1)-e^0 = 0

(x+1)/(x-1)-1 = 0

(x+1)/(x-1)+(-1*(x-1))/(x-1) = 0

x-1*(x-1)+1 = 0

2 = 0

2/(x-1) = 0

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

2 = 0

x belongs to the empty set

See similar equations:

| 19=7+8x | | m=4x+10+100 | | 2-x/((x^2-300)^1/2) | | 2-x/(x^2-300)^1/2 | | 14x-5=11x+1 | | 7x+2x+-16=5x+10-5 | | 7x+2x-16=5x+10-5 | | 12x+18-9=12x+9 | | 6x+4/4=4x-4 | | 1.5*1.2= | | 10sin(x)+9=0 | | 304x=117x-7x | | 304x=11x-7 | | 12x-61=3x+2 | | 10-2x+2=9+x | | 117x=4x+70x | | -3x+27+6=33 | | 2.9y-4(1.2-y)=5.4(y+2) | | 19=40+8x | | x/3-2=-7 | | 8x-96=3x-11 | | -5(z+4)=-4z-4 | | 4x+5+2x=29 | | 5x=x-7 | | 8y-15=81 | | 35+5x=10+4x | | 45=8x+8 | | 19=13x-8 | | 3=7x-8 | | -1/3x+27=-x+9 | | 46x=3-8x | | L(x)=(0.2x^3+5x^2+25x)-(0.2x^3-4x^2+48x+100) |

Equations solver categories