In(x+1)-in(x-1)=1

Simple and best practice solution for In(x+1)-in(x-1)=1 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 In(x+1)-in(x-1)=1 equation: 


Simplifying
In(x + 1) + -1in(x + -1) = 1

Reorder the terms:
nI(1 + x) + -1in(x + -1) = 1
(1 * nI + x * nI) + -1in(x + -1) = 1
(1nI + nxI) + -1in(x + -1) = 1

Reorder the terms:
1nI + nxI + -1in(-1 + x) = 1
1nI + nxI + (-1 * -1in + x * -1in) = 1
1nI + nxI + (1in + -1inx) = 1

Reorder the terms:
1in + -1inx + 1nI + nxI = 1

Solving
1in + -1inx + 1nI + nxI = 1

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-1nI' to each side of the equation.
1in + -1inx + 1nI + -1nI + nxI = 1 + -1nI

Combine like terms: 1nI + -1nI = 0
1in + -1inx + 0 + nxI = 1 + -1nI
1in + -1inx + nxI = 1 + -1nI

Add '-1nxI' to each side of the equation.
1in + -1inx + nxI + -1nxI = 1 + -1nI + -1nxI

Combine like terms: nxI + -1nxI = 0
1in + -1inx + 0 = 1 + -1nI + -1nxI
1in + -1inx = 1 + -1nI + -1nxI

Reorder the terms:
-1 + 1in + -1inx + nI + nxI = 1 + -1nI + -1nxI + -1 + nI + nxI

Reorder the terms:
-1 + 1in + -1inx + nI + nxI = 1 + -1 + -1nI + nI + -1nxI + nxI

Combine like terms: 1 + -1 = 0
-1 + 1in + -1inx + nI + nxI = 0 + -1nI + nI + -1nxI + nxI
-1 + 1in + -1inx + nI + nxI = -1nI + nI + -1nxI + nxI

Combine like terms: -1nI + nI = 0
-1 + 1in + -1inx + nI + nxI = 0 + -1nxI + nxI
-1 + 1in + -1inx + nI + nxI = -1nxI + nxI

Combine like terms: -1nxI + nxI = 0
-1 + 1in + -1inx + nI + nxI = 0

The solution to this equation could not be determined.

See similar equations:

| 3/4-1/3=2t-6 | | 50t=2500*20 | | 6n=36*4 | | -10/7*3-3=x | | 10n=35*2 | | -10/1*3-3=x | | -10/7*2-3=x | | -10/7*1-3=x | | x-1=y^4+y^2 | | 18e^2x=0 | | 180-82=x | | 184-5x=31x+20 | | (4z-7)(9+z)=0 | | 6y-12=3y+32 | | 7x+10=-81 | | 4x-2y+100=0 | | 100=360*x+x | | 5x-(10-3x)-20=58 | | 9/2*h=12 | | h=8*3/2 | | 9/2h=8*3/2 | | 5x-3y+2x-3=0 | | h*9/2=8*3/2 | | 9x/4-4=8x | | 8/h=9/2/3/2 | | f(x)=2x^2-12x-14 | | 3*3/3*h | | 3/2*3*h | | 8-2(3-4e)=5(e+4) | | 14-7x/7 | | 3x+9=10.3x | | x=2+-.25y |

Equations solver categories