ln(x-3)-ln(x+5)=ln(x-4)-ln(x+2)

Simple and best practice solution for ln(x-3)-ln(x+5)=ln(x-4)-ln(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(x-3)-ln(x+5)=ln(x-4)-ln(x+2) equation:


Simplifying
ln(x + -3) + -1ln(x + 5) = ln(x + -4) + -1ln(x + 2)

Reorder the terms:
ln(-3 + x) + -1ln(x + 5) = ln(x + -4) + -1ln(x + 2)
(-3 * ln + x * ln) + -1ln(x + 5) = ln(x + -4) + -1ln(x + 2)
(-3ln + lnx) + -1ln(x + 5) = ln(x + -4) + -1ln(x + 2)

Reorder the terms:
-3ln + lnx + -1ln(5 + x) = ln(x + -4) + -1ln(x + 2)
-3ln + lnx + (5 * -1ln + x * -1ln) = ln(x + -4) + -1ln(x + 2)
-3ln + lnx + (-5ln + -1lnx) = ln(x + -4) + -1ln(x + 2)

Reorder the terms:
-3ln + -5ln + lnx + -1lnx = ln(x + -4) + -1ln(x + 2)

Combine like terms: -3ln + -5ln = -8ln
-8ln + lnx + -1lnx = ln(x + -4) + -1ln(x + 2)

Combine like terms: lnx + -1lnx = 0
-8ln + 0 = ln(x + -4) + -1ln(x + 2)
-8ln = ln(x + -4) + -1ln(x + 2)

Reorder the terms:
-8ln = ln(-4 + x) + -1ln(x + 2)
-8ln = (-4 * ln + x * ln) + -1ln(x + 2)
-8ln = (-4ln + lnx) + -1ln(x + 2)

Reorder the terms:
-8ln = -4ln + lnx + -1ln(2 + x)
-8ln = -4ln + lnx + (2 * -1ln + x * -1ln)
-8ln = -4ln + lnx + (-2ln + -1lnx)

Reorder the terms:
-8ln = -4ln + -2ln + lnx + -1lnx

Combine like terms: -4ln + -2ln = -6ln
-8ln = -6ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-8ln = -6ln + 0
-8ln = -6ln

Solving
-8ln = -6ln

Solving for variable 'l'.

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

Add '6ln' to each side of the equation.
-8ln + 6ln = -6ln + 6ln

Combine like terms: -8ln + 6ln = -2ln
-2ln = -6ln + 6ln

Combine like terms: -6ln + 6ln = 0
-2ln = 0

Divide each side by '-2'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

See similar equations:

| -7.6/54 | | 2+9x=34+4 | | 15100=40% | | (3x+7)(3x+5)=0 | | x^2+x^2+2x+6x+10=0 | | X^2+y^2+2x+6y+10=0 | | (3x+7)+(3x+5)=0 | | (x+1)(x+2)(x+3)(x+4)=(x-1)(x-2)(x-3)(x-4) | | w=u/x | | 11x^2-18x+14=0 | | g+a=b | | 14x+7y=56 | | 1x-3y+4=0 | | 12m+9=11m+7 | | x+3-(4-x)=3x-(2x-3) | | t-d=m | | k+a=u | | -7x-40=3x | | f=y/s | | j-h=u | | 10n-9=7n+12 | | 12x+2y=6 | | 11-6z=2-7z | | 9x^4-64x^3+36x^2+100=0 | | c=g/d | | X+.054=(-1.802) | | y=wt | | 4-2*(5-x)=x-4*(x-1) | | Xx+5x+6=0 | | X^3+4x-1=0 | | v-j=t | | 2t+3=-1 |

Equations solver categories