Log^12(5n+8)=log^12(3-2n)

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Solution for Log^12(5n+8)=log^12(3-2n) equation: 


Simplifying
Log12(5n + 8) = log12(3 + -2n)

Reorder the terms:
g12oL(8 + 5n) = log12(3 + -2n)
(8 * g12oL + 5n * g12oL) = log12(3 + -2n)

Reorder the terms:
(5g12noL + 8g12oL) = log12(3 + -2n)
(5g12noL + 8g12oL) = log12(3 + -2n)
5g12noL + 8g12oL = (3 * g12lo + -2n * g12lo)

Reorder the terms:
5g12noL + 8g12oL = (-2g12lno + 3g12lo)
5g12noL + 8g12oL = (-2g12lno + 3g12lo)

Solving
5g12noL + 8g12oL = -2g12lno + 3g12lo

Solving for variable 'g'.

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

Add '2g12lno' to each side of the equation.
5g12noL + 2g12lno + 8g12oL = -2g12lno + 2g12lno + 3g12lo

Reorder the terms:
2g12lno + 5g12noL + 8g12oL = -2g12lno + 2g12lno + 3g12lo

Combine like terms: -2g12lno + 2g12lno = 0
2g12lno + 5g12noL + 8g12oL = 0 + 3g12lo
2g12lno + 5g12noL + 8g12oL = 3g12lo

Add '-3g12lo' to each side of the equation.
2g12lno + 5g12noL + -3g12lo + 8g12oL = 3g12lo + -3g12lo

Reorder the terms:
2g12lno + -3g12lo + 5g12noL + 8g12oL = 3g12lo + -3g12lo

Combine like terms: 3g12lo + -3g12lo = 0
2g12lno + -3g12lo + 5g12noL + 8g12oL = 0

Factor out the Greatest Common Factor (GCF), 'g12o'.
g12o(2ln + -3l + 5nL + 8L) = 0


Subproblem 1
Set the factor 'g12o' equal to zero and attempt to solve:

Simplifying
g12o = 0

Solving
g12o = 0

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

Simplifying
g12o = 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 + -3l + 5nL + 8L)' equal to zero and attempt to solve:

Simplifying
2ln + -3l + 5nL + 8L = 0

Reorder the terms:
8L + -3l + 2ln + 5nL = 0

Solving
8L + -3l + 2ln + 5nL = 0

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

Add '-8L' to each side of the equation.
8L + -3l + 2ln + -8L + 5nL = 0 + -8L

Reorder the terms:
8L + -8L + -3l + 2ln + 5nL = 0 + -8L

Combine like terms: 8L + -8L = 0
0 + -3l + 2ln + 5nL = 0 + -8L
-3l + 2ln + 5nL = 0 + -8L
Remove the zero:
-3l + 2ln + 5nL = -8L

Add '3l' to each side of the equation.
-3l + 2ln + 3l + 5nL = -8L + 3l

Reorder the terms:
-3l + 3l + 2ln + 5nL = -8L + 3l

Combine like terms: -3l + 3l = 0
0 + 2ln + 5nL = -8L + 3l
2ln + 5nL = -8L + 3l

Add '-2ln' to each side of the equation.
2ln + -2ln + 5nL = -8L + 3l + -2ln

Combine like terms: 2ln + -2ln = 0
0 + 5nL = -8L + 3l + -2ln
5nL = -8L + 3l + -2ln

Add '-5nL' to each side of the equation.
5nL + -5nL = -8L + 3l + -2ln + -5nL

Combine like terms: 5nL + -5nL = 0
0 = -8L + 3l + -2ln + -5nL

Simplifying
0 = -8L + 3l + -2ln + -5nL

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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