Ln(x-2)-ln(x+6)=ln(x-1)-ln(x+10)

Simple and best practice solution for Ln(x-2)-ln(x+6)=ln(x-1)-ln(x+10) 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)-ln(x+6)=ln(x-1)-ln(x+10) equation: 


Simplifying
Ln(x + -2) + -1ln(x + 6) = ln(x + -1) + -1ln(x + 10)

Reorder the terms:
nL(-2 + x) + -1ln(x + 6) = ln(x + -1) + -1ln(x + 10)
(-2 * nL + x * nL) + -1ln(x + 6) = ln(x + -1) + -1ln(x + 10)
(-2nL + nxL) + -1ln(x + 6) = ln(x + -1) + -1ln(x + 10)

Reorder the terms:
-2nL + nxL + -1ln(6 + x) = ln(x + -1) + -1ln(x + 10)
-2nL + nxL + (6 * -1ln + x * -1ln) = ln(x + -1) + -1ln(x + 10)
-2nL + nxL + (-6ln + -1lnx) = ln(x + -1) + -1ln(x + 10)

Reorder the terms:
-6ln + -1lnx + -2nL + nxL = ln(x + -1) + -1ln(x + 10)

Reorder the terms:
-6ln + -1lnx + -2nL + nxL = ln(-1 + x) + -1ln(x + 10)
-6ln + -1lnx + -2nL + nxL = (-1 * ln + x * ln) + -1ln(x + 10)
-6ln + -1lnx + -2nL + nxL = (-1ln + lnx) + -1ln(x + 10)

Reorder the terms:
-6ln + -1lnx + -2nL + nxL = -1ln + lnx + -1ln(10 + x)
-6ln + -1lnx + -2nL + nxL = -1ln + lnx + (10 * -1ln + x * -1ln)
-6ln + -1lnx + -2nL + nxL = -1ln + lnx + (-10ln + -1lnx)

Reorder the terms:
-6ln + -1lnx + -2nL + nxL = -1ln + -10ln + lnx + -1lnx

Combine like terms: -1ln + -10ln = -11ln
-6ln + -1lnx + -2nL + nxL = -11ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-6ln + -1lnx + -2nL + nxL = -11ln + 0
-6ln + -1lnx + -2nL + nxL = -11ln

Solving
-6ln + -1lnx + -2nL + nxL = -11ln

Solving for variable 'l'.

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

Add '11ln' to each side of the equation.
-6ln + -1lnx + -2nL + 11ln + nxL = -11ln + 11ln

Reorder the terms:
-6ln + 11ln + -1lnx + -2nL + nxL = -11ln + 11ln

Combine like terms: -6ln + 11ln = 5ln
5ln + -1lnx + -2nL + nxL = -11ln + 11ln

Combine like terms: -11ln + 11ln = 0
5ln + -1lnx + -2nL + nxL = 0

Add '2nL' to each side of the equation.
5ln + -1lnx + -2nL + 2nL + nxL = 0 + 2nL

Combine like terms: -2nL + 2nL = 0
5ln + -1lnx + 0 + nxL = 0 + 2nL
5ln + -1lnx + nxL = 0 + 2nL
Remove the zero:
5ln + -1lnx + nxL = 2nL

Add '-1nxL' to each side of the equation.
5ln + -1lnx + nxL + -1nxL = 2nL + -1nxL

Combine like terms: nxL + -1nxL = 0
5ln + -1lnx + 0 = 2nL + -1nxL
5ln + -1lnx = 2nL + -1nxL

Reorder the terms:
5ln + -1lnx + -2nL + nxL = 2nL + -2nL + -1nxL + nxL

Combine like terms: 2nL + -2nL = 0
5ln + -1lnx + -2nL + nxL = 0 + -1nxL + nxL
5ln + -1lnx + -2nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
5ln + -1lnx + -2nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(5l + -1lx + -2L + xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(5l + -1lx + -2L + xL)' equal to zero and attempt to solve:

Simplifying
5l + -1lx + -2L + xL = 0

Reorder the terms:
-2L + 5l + -1lx + xL = 0

Solving
-2L + 5l + -1lx + xL = 0

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

Add '2L' to each side of the equation.
-2L + 5l + -1lx + 2L + xL = 0 + 2L

Reorder the terms:
-2L + 2L + 5l + -1lx + xL = 0 + 2L

Combine like terms: -2L + 2L = 0
0 + 5l + -1lx + xL = 0 + 2L
5l + -1lx + xL = 0 + 2L
Remove the zero:
5l + -1lx + xL = 2L

Add '-1xL' to each side of the equation.
5l + -1lx + xL + -1xL = 2L + -1xL

Combine like terms: xL + -1xL = 0
5l + -1lx + 0 = 2L + -1xL
5l + -1lx = 2L + -1xL

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:

| 3-3p=3(1-p) | | x+xy=60 | | 8k-4K=32 | | 3-3p=3(1-9) | | 2(8u+2)=(2u-7) | | 17x-6=11x-12 | | 10+10+10= | | 3(n+5)=60 | | 5-3k+4-5k= | | x+x*y=60 | | (X-1)^(-3/2)=8 | | 11w+6=93 | | X+x+1=103 | | 1,942.50/9.25 | | 5+4*10= | | 4y+8-2y=50 | | $1,942.50/$9.25 | | 6-4(5-7x)=38 | | -3y-3=2 | | 13+12=-5(2x-5) | | 6-2n=46 | | 7(-21+2y)+2y=-19 | | 2(5-6x)=34 | | 6-7x=6x-8x-9 | | -4x^2-30=-5 | | A-7=29 | | 9-4j=176 | | Y=-X-21 | | 10x^2+6x+12=0 | | 4/8=54 | | Y+-10= | | -2+6x=2(3x-1) |

Equations solver categories