2ln(y+2)-ln(y+6)=0

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Solution for 2ln(y+2)-ln(y+6)=0 equation:


Simplifying
2ln(y + 2) + -1ln(y + 6) = 0

Reorder the terms:
2ln(2 + y) + -1ln(y + 6) = 0
(2 * 2ln + y * 2ln) + -1ln(y + 6) = 0
(4ln + 2lny) + -1ln(y + 6) = 0

Reorder the terms:
4ln + 2lny + -1ln(6 + y) = 0
4ln + 2lny + (6 * -1ln + y * -1ln) = 0
4ln + 2lny + (-6ln + -1lny) = 0

Reorder the terms:
4ln + -6ln + 2lny + -1lny = 0

Combine like terms: 4ln + -6ln = -2ln
-2ln + 2lny + -1lny = 0

Combine like terms: 2lny + -1lny = 1lny
-2ln + 1lny = 0

Solving
-2ln + 1lny = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-2 + y) = 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 '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Add '-1y' to each side of the equation. y + -1y = 2 + -1y Combine like terms: y + -1y = 0 0 = 2 + -1y Simplifying 0 = 2 + -1y 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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