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

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


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

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

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

Multiply ln * x
-4ln + lnx = 6ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-4ln + lnx = 6ln + 0
-4ln + lnx = 6ln

Solving
-4ln + lnx = 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.
-4ln + -6ln + lnx = 6ln + -6ln

Combine like terms: -4ln + -6ln = -10ln
-10ln + lnx = 6ln + -6ln

Combine like terms: 6ln + -6ln = 0
-10ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-10 + x) = 0

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 '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Add '-1x' to each side of the equation. x + -1x = 10 + -1x Combine like terms: x + -1x = 0 0 = 10 + -1x Simplifying 0 = 10 + -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:

| 12r-18=13r+8 | | -4(d-2)=20-5d+8 | | 6(y+4)=14-4 | | Ix+7I=10 | | 2.4(2.4)-2.6y=-7.5 | | 4(3x-1)=3+8x | | 8(x-6)-25=5+5 | | X-26+x=180 | | 8.0x=24 | | -3(y-5)=45-5y-12 | | 2(4x-2)=4x-2 | | -3(p-1)=15 | | .15*x+12=100 | | 9m-16=4x-4 | | 8.5h-32=-8z | | -11+r=-46 | | 4b-4=22-6b | | 3x+17+2-2x=19 | | x^2=20.3125 | | (x-4)(x-2)(x-2-3i)(x-2+3i)=0 | | 7x+17=-7x-17 | | 4x-(x-2)=21 | | (5x-2)3=9 | | 20cos(-x-2)=3 | | -4(5x+8)-2=-174 | | -15w-40=23-8v | | 9m+5=5m+33 | | y^2-125y+2500=0 | | 14z+6=-50 | | 61h=9.3-32h | | .3*4=12 | | 4x^3=8 |

Equations solver categories