Log^4(6-n)=log^4(-2n-8)

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Solution for Log^4(6-n)=log^4(-2n-8) equation: 


Simplifying
Log4(6 + -1n) = log4(-2n + -8)
(6 * g4oL + -1n * g4oL) = log4(-2n + -8)

Reorder the terms:
(-1g4noL + 6g4oL) = log4(-2n + -8)
(-1g4noL + 6g4oL) = log4(-2n + -8)

Reorder the terms:
-1g4noL + 6g4oL = g4lo(-8 + -2n)
-1g4noL + 6g4oL = (-8 * g4lo + -2n * g4lo)

Reorder the terms:
-1g4noL + 6g4oL = (-2g4lno + -8g4lo)
-1g4noL + 6g4oL = (-2g4lno + -8g4lo)

Solving
-1g4noL + 6g4oL = -2g4lno + -8g4lo

Solving for variable 'g'.

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

Add '2g4lno' to each side of the equation.
-1g4noL + 2g4lno + 6g4oL = -2g4lno + 2g4lno + -8g4lo

Reorder the terms:
2g4lno + -1g4noL + 6g4oL = -2g4lno + 2g4lno + -8g4lo

Combine like terms: -2g4lno + 2g4lno = 0
2g4lno + -1g4noL + 6g4oL = 0 + -8g4lo
2g4lno + -1g4noL + 6g4oL = -8g4lo

Add '8g4lo' to each side of the equation.
2g4lno + -1g4noL + 8g4lo + 6g4oL = -8g4lo + 8g4lo

Reorder the terms:
2g4lno + 8g4lo + -1g4noL + 6g4oL = -8g4lo + 8g4lo

Combine like terms: -8g4lo + 8g4lo = 0
2g4lno + 8g4lo + -1g4noL + 6g4oL = 0

Factor out the Greatest Common Factor (GCF), 'g4o'.
g4o(2ln + 8l + -1nL + 6L) = 0


Subproblem 1
Set the factor 'g4o' equal to zero and attempt to solve:

Simplifying
g4o = 0

Solving
g4o = 0

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

Simplifying
g4o = 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 '(2ln + 8l + -1nL + 6L)' equal to zero and attempt to solve:

Simplifying
2ln + 8l + -1nL + 6L = 0

Reorder the terms:
6L + 8l + 2ln + -1nL = 0

Solving
6L + 8l + 2ln + -1nL = 0

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

Add '-6L' to each side of the equation.
6L + 8l + 2ln + -6L + -1nL = 0 + -6L

Reorder the terms:
6L + -6L + 8l + 2ln + -1nL = 0 + -6L

Combine like terms: 6L + -6L = 0
0 + 8l + 2ln + -1nL = 0 + -6L
8l + 2ln + -1nL = 0 + -6L
Remove the zero:
8l + 2ln + -1nL = -6L

Add '-8l' to each side of the equation.
8l + 2ln + -8l + -1nL = -6L + -8l

Reorder the terms:
8l + -8l + 2ln + -1nL = -6L + -8l

Combine like terms: 8l + -8l = 0
0 + 2ln + -1nL = -6L + -8l
2ln + -1nL = -6L + -8l

Add '-2ln' to each side of the equation.
2ln + -2ln + -1nL = -6L + -8l + -2ln

Combine like terms: 2ln + -2ln = 0
0 + -1nL = -6L + -8l + -2ln
-1nL = -6L + -8l + -2ln

Add 'nL' to each side of the equation.
-1nL + nL = -6L + -8l + -2ln + nL

Combine like terms: -1nL + nL = 0
0 = -6L + -8l + -2ln + nL

Simplifying
0 = -6L + -8l + -2ln + nL

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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