ln(x-6)-ln(x-4)=ln(x+6)

Simple and best practice solution for ln(x-6)-ln(x-4)=ln(x+6) 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-6)-ln(x-4)=ln(x+6) equation:


Simplifying
ln(x + -6) + -1ln(x + -4) = ln(x + 6)

Reorder the terms:
ln(-6 + x) + -1ln(x + -4) = ln(x + 6)
(-6 * ln + x * ln) + -1ln(x + -4) = ln(x + 6)
(-6ln + lnx) + -1ln(x + -4) = ln(x + 6)

Reorder the terms:
-6ln + lnx + -1ln(-4 + x) = ln(x + 6)
-6ln + lnx + (-4 * -1ln + x * -1ln) = ln(x + 6)
-6ln + lnx + (4ln + -1lnx) = ln(x + 6)

Reorder the terms:
-6ln + 4ln + lnx + -1lnx = ln(x + 6)

Combine like terms: -6ln + 4ln = -2ln
-2ln + lnx + -1lnx = ln(x + 6)

Combine like terms: lnx + -1lnx = 0
-2ln + 0 = ln(x + 6)
-2ln = ln(x + 6)

Reorder the terms:
-2ln = ln(6 + x)
-2ln = (6 * ln + x * ln)
-2ln = (6ln + lnx)

Solving
-2ln = 6ln + lnx

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.
-2ln + -6ln = 6ln + -6ln + lnx

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

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

Add '-1lnx' to each side of the equation.
-8ln + -1lnx = lnx + -1lnx

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

Factor out the Greatest Common Factor (GCF), '-1ln'.
-1ln(8 + x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Add '-1x' to each side of the equation. x + -1x = -8 + -1x Combine like terms: x + -1x = 0 0 = -8 + -1x Simplifying 0 = -8 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 56=-78.9tp | | (4x-5)-(3x-1)=o | | -5x-22=4(x-1) | | 5x=3x+2000 | | 24/12=m/54 | | 2x-13=-x+5 | | 3x=7y+15 | | 197-3x=17 | | 3y-5=3y-(-8) | | 3(q-762)=657 | | 41n+3.9=2.24n | | 5x+8=4x+8 | | 12+-4y=-6y | | x/7=x/4-3 | | 6.9+2.7t=-4.8t-6 | | 36-18x+20=16x | | 3(x-5)+x=65 | | 3(2x-1)-5(4x+3)=10 | | 9n-1=98 | | 28(y+6)=644 | | 29-x=4x+20 | | 60=3-2/3x | | x*x=6x | | 11q+-114=-895 | | (20)*(-4)= | | 5x-10+x+3=7 | | 5+sqrt(g-3)=6 | | 4*(-8)+8= | | x=.05*(x+y) | | 4x-4=44-2x | | 3x-2=97 | | 5x+3x=2000 |

Equations solver categories