ln(x+2)+In(x-2)=1

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


Simplifying
ln(x + 2) + In(x + -2) = 1

Reorder the terms:
ln(2 + x) + In(x + -2) = 1
(2 * ln + x * ln) + In(x + -2) = 1
(2ln + lnx) + In(x + -2) = 1

Reorder the terms:
2ln + lnx + nI(-2 + x) = 1
2ln + lnx + (-2 * nI + x * nI) = 1
2ln + lnx + (-2nI + nxI) = 1

Solving
2ln + lnx + -2nI + nxI = 1

Solving for variable 'l'.

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

Add '2nI' to each side of the equation.
2ln + lnx + -2nI + 2nI + nxI = 1 + 2nI

Combine like terms: -2nI + 2nI = 0
2ln + lnx + 0 + nxI = 1 + 2nI
2ln + lnx + nxI = 1 + 2nI

Add '-1nxI' to each side of the equation.
2ln + lnx + nxI + -1nxI = 1 + 2nI + -1nxI

Combine like terms: nxI + -1nxI = 0
2ln + lnx + 0 = 1 + 2nI + -1nxI
2ln + lnx = 1 + 2nI + -1nxI

Reorder the terms:
-1 + 2ln + lnx + -2nI + nxI = 1 + 2nI + -1nxI + -1 + -2nI + nxI

Reorder the terms:
-1 + 2ln + lnx + -2nI + nxI = 1 + -1 + 2nI + -2nI + -1nxI + nxI

Combine like terms: 1 + -1 = 0
-1 + 2ln + lnx + -2nI + nxI = 0 + 2nI + -2nI + -1nxI + nxI
-1 + 2ln + lnx + -2nI + nxI = 2nI + -2nI + -1nxI + nxI

Combine like terms: 2nI + -2nI = 0
-1 + 2ln + lnx + -2nI + nxI = 0 + -1nxI + nxI
-1 + 2ln + lnx + -2nI + nxI = -1nxI + nxI

Combine like terms: -1nxI + nxI = 0
-1 + 2ln + lnx + -2nI + nxI = 0

The solution to this equation could not be determined.

See similar equations:

| 6x-10=-1 | | 5-(t+3)=-1+2-x-15 | | d+3n=1 | | 22x-5x^2=27 | | -3(5s-5)-15=-2(9s+2)-3 | | 6r^3+r^2-r=0 | | -4x+8=-6 | | 22x-x-5=27 | | -(a+2)=5a-14 | | 5(x-0.25)-6=-11x | | 5x+12=2x-9 | | 2a-5b=10 | | 14=f+(-7) | | 15g-x=w | | 0.8x+5=0.2(40-x) | | 3(x)-4=x-1+2 | | 11=r+(-9) | | 5r-2+3r=2r+6 | | 27-2x=2(x-1) | | 2x+x+x-16= | | -.25(x-8)+.5(x+2)=x+0 | | 15x^2-6x=x | | -3=2x-3x-3 | | x+60=5x | | (3x+8)+(x+4)=180 | | 12x-x-(-4x)= | | 3e+36=5e | | 7+w=-6 | | -3(-2x+20)+(x+12)=92 | | k+(-6)=2 | | 77+(-25)= | | 3(x-1)=2(5-2x) |

Equations solver categories