ln(-4n+8)=ln(2n+2)

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Solution for ln(-4n+8)=ln(2n+2) equation: 


Simplifying
ln(-4n + 8) = ln(2n + 2)

Reorder the terms:
ln(8 + -4n) = ln(2n + 2)
(8 * ln + -4n * ln) = ln(2n + 2)
(8ln + -4ln2) = ln(2n + 2)

Reorder the terms:
8ln + -4ln2 = ln(2 + 2n)
8ln + -4ln2 = (2 * ln + 2n * ln)
8ln + -4ln2 = (2ln + 2ln2)

Solving
8ln + -4ln2 = 2ln + 2ln2

Solving for variable 'l'.

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

Add '-2ln' to each side of the equation.
8ln + -2ln + -4ln2 = 2ln + -2ln + 2ln2

Combine like terms: 8ln + -2ln = 6ln
6ln + -4ln2 = 2ln + -2ln + 2ln2

Combine like terms: 2ln + -2ln = 0
6ln + -4ln2 = 0 + 2ln2
6ln + -4ln2 = 2ln2

Add '-2ln2' to each side of the equation.
6ln + -4ln2 + -2ln2 = 2ln2 + -2ln2

Combine like terms: -4ln2 + -2ln2 = -6ln2
6ln + -6ln2 = 2ln2 + -2ln2

Combine like terms: 2ln2 + -2ln2 = 0
6ln + -6ln2 = 0

Factor out the Greatest Common Factor (GCF), '6ln'.
6ln(1 + -1n) = 0

Ignore the factor 6.

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 '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1n = 0 + -1
-1n = 0 + -1

Combine like terms: 0 + -1 = -1
-1n = -1

Add 'n' to each side of the equation.
-1n + n = -1 + n

Combine like terms: -1n + n = 0
0 = -1 + n

Simplifying
0 = -1 + n

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.

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